According to the diagram, GF = 6 inches.
To solve this, we can use the following steps:
Step 1: We know that GHF/DEF = EF/FH (Congruent angle theorem)
Step 2: We are given that EF = 4 and FH = 3.2
Step 3: We are also given that DF = 6
Step 4: Substituting these values into the equation above, we get:
GF = 4 * 6 / 3.2
GF = 6
Therefore, the length of GF is 6 inches.