The Collaborative International Dictionary of English v.0.48:

Moderately \Mod"er*ate*ly\, adv.
   In a moderate manner or degree; to a moderate extent.
   [1913 Webster]

         Each nymph but moderately fair.          --Waller.
   [1913 Webster]

WordNet (r) 3.0 (2006):

moderately
    adv 1: to a moderately sufficient extent or degree; "pretty
           big"; "pretty bad"; "jolly decent of him"; "the shoes are
           priced reasonably"; "he is fairly clever with computers"
           [syn: reasonably, moderately, pretty, jolly,
           somewhat, fairly, middling, passably] [ant:
           immoderately, unreasonably]
    2: with moderation; in a moderate manner; "he drinks moderately"
       [ant: immoderately]

Moby Thesaurus II by Grady Ward, 1.0:

147 Moby Thesaurus words for "moderately":
   acceptably, adequately, after a fashion, appreciably, at a bargain,
   at a sacrifice, at any rate, at best, at budget prices, at cost,
   at cost price, at least, at most, at piggy-bank prices,
   at prime cost, at reduced rates, at small cost, at the least,
   at the most, at the outside, at wholesale, at worst, calmly,
   cautiously, cheap, cheaply, circumspectly, comparatively,
   composedly, conservatively, coolly, crawlingly, creepingly,
   decently, deliberately, detectably, dilatorily, dispassionately,
   easily, equably, evenly, fair to middling, fairishly, fairly,
   fairly well, falteringly, for a song, for pennies, frugally,
   gently, haltingly, idly, in a manner, in a way, in balance,
   in low gear, in march time, in moderation, in part, in reason,
   in slow motion, in slow tempo, in some measure, incompletely,
   indifferently, indolently, inexpensively, judiciously, kind of,
   languidly, languorously, leastwise, leisurely, limpingly,
   lingeringly, loiteringly, mediocrely, merely, middling well,
   middlingly, mildly, modestly, more or less, nominally,
   not comprehensively, not exhaustively, on the cheap, only, part,
   partially, partly, passably, pokily, pokingly, presentably, pretty,
   pretty well, pro tanto, prudently, purely, quite, rather,
   reasonably, relatively, relaxedly, reluctantly, respectably,
   restrainedly, satisfactorily, serenely, simply, slightly, slow,
   slowly, sluggishly, so far, so-so, soberly, some, something,
   somewhat, soothingly, sort of, sparingly, steadily, stintingly,
   subduedly, tarryingly, temperately, tentatively, thus far,
   to a degree, to some degree, to some extent, tolerably, tranquilly,
   under easy sail, unexceptionably, unhurriedly, visibly,
   well enough, wholesale, with agonizing slowness, with deliberation,
   within bounds, within compass, within reason