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Given that
$$6A=4B=9C$$
let
6A=4B & 4B=9C
$$\frac{A}{B}=\frac{4}{6}$$.....(1)
$$\frac{B}{C}=\frac{9}{4}$$.....(2)
From eq.1&2
$$A:B:C=12:18:8$$
Or
$$A:B:C=6:9:4$$
Hence option B is right answer
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