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Finding the Fourth Proportional to 6,716.52, 9,267.70 and 3,732.27

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Solution

The fourth proportional to 6,716.52, 9,267.70 and 3,732.27 is: 5,149.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,716.52 : 9,267.70 = 3,732.27 : x
  2. Step 2: Convert to fraction form
    6,716.52/9,267.70 = 3,732.27/x
  3. Step 3: Cross multiply
    6,716.52x = 9,267.70 × 3,732.27
  4. Step 4: Simplify right side
    6,716.52x = 34,589,540.02
  5. Step 5: Solve for x
    x = 34,589,540.02/6,716.52
  6. Step 6: Final answer
    x = 5,149.92

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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.