The Collaborative International Dictionary of English v.0.48:

Accordingly \Ac*cord"ing*ly\, adv.
   1. Agreeably; correspondingly; suitably; in a manner
      conformable.
      [1913 Webster]

            Behold, and so proceed accordingly.   --Shak.
      [1913 Webster]

   2. In natural sequence; consequently; so.
      [1913 Webster]

   Syn: Consequently; therefore; wherefore; hence; so.

   Usage: Accordingly, Consequently, indicate a connection
          between two things, the latter of which is done on
          account of the former. Accordingly marks the
          connection as one of simple accordance or congruity,
          leading naturally to the result which followed; as, he
          was absent when I called, and I accordingly left my
          card; our preparations were all finished, and we
          accordingly set sail. Consequently all finished, and
          we accordingly set sail. Consequently marks a closer
          connection, that of logical or causal sequence; as,
          the papers were not ready, and consequently could not
          be signed.
          [1913 Webster]

WordNet (r) 3.0 (2006):

accordingly
    adv 1: (sentence connectors) because of the reason given;
           "consequently, he didn't do it"; "continued to have
           severe headaches and accordingly returned to the doctor"
           [syn: consequently, accordingly]
    2: in accordance with; "she acted accordingly"

Moby Thesaurus II by Grady Ward, 1.0:

52 Moby Thesaurus words for "accordingly":
   according to circumstances, and so, appropriately,
   as a consequence, as a result, as it is, as matters stand,
   at that rate, because of that, because of this, compliantly,
   conformably, consequently, equally, ergo, finally, for that,
   for that cause, for that reason, for this cause, for this reason,
   for which reason, hence, hereat, in that case, in that event,
   inconsequence, inevitably, it follows that, naturally,
   naturellement, necessarily, of course, of necessity,
   on that account, on that ground, on this account, propter hoc,
   suitably, that being so, then, thence, thereat, therefor,
   therefore, thus, thusly, thuswise, under the circumstances, whence,
   wherefore, wherefrom