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Finding the Fourth Proportional to 6,711.28, 9,261 and 3,726.88

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Solution

The fourth proportional to 6,711.28, 9,261 and 3,726.88 is: 5,142.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,711.28 : 9,261 = 3,726.88 : x
  2. Step 2: Convert to fraction form
    6,711.28/9,261 = 3,726.88/x
  3. Step 3: Cross multiply
    6,711.28x = 9,261 × 3,726.88
  4. Step 4: Simplify right side
    6,711.28x = 34,514,635.68
  5. Step 5: Solve for x
    x = 34,514,635.68/6,711.28
  6. Step 6: Final answer
    x = 5,142.78

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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.