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Finding the Fourth Proportional to 9,948.38, 13,728.82 and 5,472.42

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Solution

The fourth proportional to 9,948.38, 13,728.82 and 5,472.42 is: 7,551.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,948.38 : 13,728.82 = 5,472.42 : x
  2. Step 2: Convert to fraction form
    9,948.38/13,728.82 = 5,472.42/x
  3. Step 3: Cross multiply
    9,948.38x = 13,728.82 × 5,472.42
  4. Step 4: Simplify right side
    9,948.38x = 75,129,869.14
  5. Step 5: Solve for x
    x = 75,129,869.14/9,948.38
  6. Step 6: Final answer
    x = 7,551.97

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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.