A store sells posters. Each poster costs the same amount. During a sale, the store reduces the price of each poster by $1.65. Cole spends $27.36 on 4 posters at the sale price.

What was the price of 1 poster before the sale?

Let X be the original price of the poster.

The price of each poster after the sale is X - 1.65.
Cole spends 4 * (X - 1.65) = $27.36 on posters.
Thus 4 * X - 6.6 = $27.36.
Therefore 4 * X = $27.36 + $6.6 = $33.96.
Thus the price of 1 poster before the sale is X = $33.96 / 4 = $<<3396/100=33.96>>33.96/4 = $8.49. Answer: \boxed{8.49}.