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Finding the Fourth Proportional to 9,234.90, 12,744.24 and 5,256.27

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Solution

The fourth proportional to 9,234.90, 12,744.24 and 5,256.27 is: 7,253.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.90 : 12,744.24 = 5,256.27 : x
  2. Step 2: Convert to fraction form
    9,234.90/12,744.24 = 5,256.27/x
  3. Step 3: Cross multiply
    9,234.90x = 12,744.24 × 5,256.27
  4. Step 4: Simplify right side
    9,234.90x = 66,987,166.38
  5. Step 5: Solve for x
    x = 66,987,166.38/9,234.90
  6. Step 6: Final answer
    x = 7,253.70

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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.