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Finding the Fourth Proportional to 6,599.29, 9,107.32 and 3,767.43

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Solution

The fourth proportional to 6,599.29, 9,107.32 and 3,767.43 is: 5,199.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,599.29 : 9,107.32 = 3,767.43 : x
  2. Step 2: Convert to fraction form
    6,599.29/9,107.32 = 3,767.43/x
  3. Step 3: Cross multiply
    6,599.29x = 9,107.32 × 3,767.43
  4. Step 4: Simplify right side
    6,599.29x = 34,311,171.16
  5. Step 5: Solve for x
    x = 34,311,171.16/6,599.29
  6. Step 6: Final answer
    x = 5,199.22

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.