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Finding the Fourth Proportional to 9,761.90, 13,471.38 and 5,513.85

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Solution

The fourth proportional to 9,761.90, 13,471.38 and 5,513.85 is: 7,609.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,761.90 : 13,471.38 = 5,513.85 : x
  2. Step 2: Convert to fraction form
    9,761.90/13,471.38 = 5,513.85/x
  3. Step 3: Cross multiply
    9,761.90x = 13,471.38 × 5,513.85
  4. Step 4: Simplify right side
    9,761.90x = 74,279,168.61
  5. Step 5: Solve for x
    x = 74,279,168.61/9,761.90
  6. Step 6: Final answer
    x = 7,609.09

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.