The ratio of a to b is 8 : 9 and b to c is 4 : 6. Find the continued ratio a : b : c?

The ratio of a to b is 8 : 9 and b to c is 4 : 6. Find the continued ratio a : b : c?

Explanation
We are given:
Ratio of a : b = 8 : 9
Ratio of b : c = 4 : 6
Step 1: Make the b values equal in both ratios.
LCM of 9 and 4 = 36
Convert both ratios so that b = 36:
From a : b = 8 : 9, multiply both terms by 4
→ a : b = 32 : 36
From b : c = 4 : 6, multiply both terms by 9
→ b : c = 36 : 54
Step 2: Combine into a : b : c
→ a : b : c = 32 : 36 : 54