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The ratios are:

red : green = 2 : 3 = (2×3) : (3×3) = 6 : 9

green : blue = 9 : 4

→ ratio of red : green : blue = 6 : 9 : 4

There are 6 + 9 + 4 = 19 parts

76 marbles ÷ 19 parts = 4 marbles per part

→ red: 6 parts = 6 × 4 marbles per part = 24 red marbles

→ green: 9 parts = 9 × 4 marbles per part = 36 green marbles

→ blue: 4 parts = 4 × 4 marbles per part = 16 blue marbles

To check: red + green + blue = 24 marbles + 36 marbles + 16 marbles = 76 marbles in the bag.

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