Explanation:

- To decode the sequence, we need to find the pattern or rule applied to the words and their coded numbers.

- Consider SHELTER as 6295793:

- S = 6, H = 2, E = 9, L = 5, T = 7, E = 9, R = 3

- For FISHERY as 8162934:

- F = 8, I = 1, S = 6, H = 2, E = 9, R = 3, Y = 4

- Recognize the consistent mapping of letters to numbers.

- Now, encode FILTHY:

- F = 8, I = 1, L = 5, T = 7, H = 2, Y = 4

By following this pattern, FILTHY is coded as 815724.

- Option 1: 815724

- Option 2: 812457

- Option 3: 157842

- Option 4: 581724