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Finding the Fourth Proportional to 6,876.33, 9,489.33 and 3,732.53

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Solution

The fourth proportional to 6,876.33, 9,489.33 and 3,732.53 is: 5,150.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,876.33 : 9,489.33 = 3,732.53 : x
  2. Step 2: Convert to fraction form
    6,876.33/9,489.33 = 3,732.53/x
  3. Step 3: Cross multiply
    6,876.33x = 9,489.33 × 3,732.53
  4. Step 4: Simplify right side
    6,876.33x = 35,419,161.46
  5. Step 5: Solve for x
    x = 35,419,161.46/6,876.33
  6. Step 6: Final answer
    x = 5,150.88

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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.