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Finding the Fourth Proportional to 7,244.50, 9,997.42 and 3,932.50

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Solution

The fourth proportional to 7,244.50, 9,997.42 and 3,932.50 is: 5,426.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.50 : 9,997.42 = 3,932.50 : x
  2. Step 2: Convert to fraction form
    7,244.50/9,997.42 = 3,932.50/x
  3. Step 3: Cross multiply
    7,244.50x = 9,997.42 × 3,932.50
  4. Step 4: Simplify right side
    7,244.50x = 39,314,854.15
  5. Step 5: Solve for x
    x = 39,314,854.15/7,244.50
  6. Step 6: Final answer
    x = 5,426.86

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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.