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Finding the Fourth Proportional to 9,324.38, 12,864.72 and 5,290.53

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Solution

The fourth proportional to 9,324.38, 12,864.72 and 5,290.53 is: 7,299.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.38 : 12,864.72 = 5,290.53 : x
  2. Step 2: Convert to fraction form
    9,324.38/12,864.72 = 5,290.53/x
  3. Step 3: Cross multiply
    9,324.38x = 12,864.72 × 5,290.53
  4. Step 4: Simplify right side
    9,324.38x = 68,061,187.10
  5. Step 5: Solve for x
    x = 68,061,187.10/9,324.38
  6. Step 6: Final answer
    x = 7,299.28

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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.