A cargo ship transporting crates of fruit encounters a storm on the high seas and is delayed by two weeks.

Once it arrives the crew discovers that 3$ out of the 96$ crates of fruit have spoilt.
If each crate contained 35$ kg of fruit and each kilogram of fruit can be sold for 4$, what is the value of the remaining cargo?

The ship was delayed for 2 weeks, which is equal to 14 days.

During this time, 3 out of 96 crates of fruit spoilt, so there are 96 - 3 = <<96-3=93>>93 crates of fruit remaining.
Each crate contains 35 kg of fruit, so there are 93 * 35 = <<93*35=3255>>3255 kg of fruit remaining.
Each kilogram of fruit can be sold for 4$, so the remaining cargo has a value of 3255 * 4 = <<3255*4=13020>>13020$. Answer: \boxed{13020}.