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Finding the Fourth Proportional to 9,249.87, 12,761.22 and 5,892.09

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Solution

The fourth proportional to 9,249.87, 12,761.22 and 5,892.09 is: 8,128.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.87 : 12,761.22 = 5,892.09 : x
  2. Step 2: Convert to fraction form
    9,249.87/12,761.22 = 5,892.09/x
  3. Step 3: Cross multiply
    9,249.87x = 12,761.22 × 5,892.09
  4. Step 4: Simplify right side
    9,249.87x = 75,190,256.75
  5. Step 5: Solve for x
    x = 75,190,256.75/9,249.87
  6. Step 6: Final answer
    x = 8,128.79

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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.