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Finding the Fourth Proportional to 6,876.24, 9,489.23 and 3,732.43

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Solution

The fourth proportional to 6,876.24, 9,489.23 and 3,732.43 is: 5,150.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.24 : 9,489.23 = 3,732.43 : x
  2. Step 2: Convert to fraction form
    6,876.24/9,489.23 = 3,732.43/x
  3. Step 3: Cross multiply
    6,876.24x = 9,489.23 × 3,732.43
  4. Step 4: Simplify right side
    6,876.24x = 35,417,886.73
  5. Step 5: Solve for x
    x = 35,417,886.73/6,876.24
  6. Step 6: Final answer
    x = 5,150.76

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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.