Extend geometric sequences

Given the first few terms in a geometric sequence, find the next term in the sequence.

Problem

The first three terms of a geometric sequence are given:
2716,94,3,\dfrac{27}{16},-\dfrac{9}{4},3, \ldots
What is the fourth term in the sequence?
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3, slash, 5
  • a simplified improper fraction, like 7, slash, 4
  • a mixed number, like 1, space, 3, slash, 4
  • an exact decimal, like 0, point, 75
  • a multiple of pi, like 12, space, p, i or 2, slash, 3, space, p, i