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Finding the Fourth Proportional to 9,908.38, 13,673.91 and 5,432.14

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Solution

The fourth proportional to 9,908.38, 13,673.91 and 5,432.14 is: 7,496.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,908.38 : 13,673.91 = 5,432.14 : x
  2. Step 2: Convert to fraction form
    9,908.38/13,673.91 = 5,432.14/x
  3. Step 3: Cross multiply
    9,908.38x = 13,673.91 × 5,432.14
  4. Step 4: Simplify right side
    9,908.38x = 74,278,593.47
  5. Step 5: Solve for x
    x = 74,278,593.47/9,908.38
  6. Step 6: Final answer
    x = 7,496.54

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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.