In a certain code language, 'SIGN' is coded as '3614', and 'RISK' is coded as '7639'. How will 'KING' be coded in that language?

Let's identify the codes for individual letters by matching the common elements:
From 'SIGN' = '3614' and 'RISK' = '7639':
Common letters are 'S' and 'I'. Common digits are '3' and '6'.
Looking closely:

In 'SIGN', letters are S, I, G, N → coded as 3, 6, 1, 4

In 'RISK', letters are R, I, S, K → coded as 7, 6, 3, 9
By direct letter-to-digit positional correspondence or unique allocation:

S = 3

I = 6

G = 1

N = 4

R = 7

K = 9

Now, let's assemble the code for 'KING':

K = 9

I = 6

N = 4

G = 1

Thus, 'KING' is coded as 9641.