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Finding the Fourth Proportional to 9,221.20, 13,834.14 and 2,647.78

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Solution

The fourth proportional to 9,221.20, 13,834.14 and 2,647.78 is: 3,972.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.20 : 13,834.14 = 2,647.78 : x
  2. Step 2: Convert to fraction form
    9,221.20/13,834.14 = 2,647.78/x
  3. Step 3: Cross multiply
    9,221.20x = 13,834.14 × 2,647.78
  4. Step 4: Simplify right side
    9,221.20x = 36,629,759.21
  5. Step 5: Solve for x
    x = 36,629,759.21/9,221.20
  6. Step 6: Final answer
    x = 3,972.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.