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Finding the Fourth Proportional to 7,233.38, 9,974.88 and 5,445.14

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Solution

The fourth proportional to 7,233.38, 9,974.88 and 5,445.14 is: 7,508.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,233.38 : 9,974.88 = 5,445.14 : x
  2. Step 2: Convert to fraction form
    7,233.38/9,974.88 = 5,445.14/x
  3. Step 3: Cross multiply
    7,233.38x = 9,974.88 × 5,445.14
  4. Step 4: Simplify right side
    7,233.38x = 54,314,618.08
  5. Step 5: Solve for x
    x = 54,314,618.08/7,233.38
  6. Step 6: Final answer
    x = 7,508.88

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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.