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Finding the Fourth Proportional to 10,140.38, 13,892.09 and 9,761.34

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Solution

The fourth proportional to 10,140.38, 13,892.09 and 9,761.34 is: 13,372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,140.38 : 13,892.09 = 9,761.34 : x
  2. Step 2: Convert to fraction form
    10,140.38/13,892.09 = 9,761.34/x
  3. Step 3: Cross multiply
    10,140.38x = 13,892.09 × 9,761.34
  4. Step 4: Simplify right side
    10,140.38x = 135,605,364.99
  5. Step 5: Solve for x
    x = 135,605,364.99/10,140.38
  6. Step 6: Final answer
    x = 13,372.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.