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Finding the Fourth Proportional to 9,249.48, 12,761.14 and 5,713.48

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Solution

The fourth proportional to 9,249.48, 12,761.14 and 5,713.48 is: 7,882.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.48 : 12,761.14 = 5,713.48 : x
  2. Step 2: Convert to fraction form
    9,249.48/12,761.14 = 5,713.48/x
  3. Step 3: Cross multiply
    9,249.48x = 12,761.14 × 5,713.48
  4. Step 4: Simplify right side
    9,249.48x = 72,910,518.17
  5. Step 5: Solve for x
    x = 72,910,518.17/9,249.48
  6. Step 6: Final answer
    x = 7,882.66

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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.