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Answer: The length of the shadow in the afternoon was 6 x 4/9 meters.

Explanation: The shadow of the tree was 8 x 5/9 meters in the morning. It then reduced by 7 x 3/7 meters by noon, which is 6 x 4/9 meters. Then, it gained another 5 x 2/3 meters in the afternoon, which is 6 x 4/9 meters. Therefore, the length of the shadow in the afternoon is 6 x 4/9 meters.

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