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Finding the Fourth Proportional to 6,144.52, 9,218.14 and 2,248.80

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Solution

The fourth proportional to 6,144.52, 9,218.14 and 2,248.80 is: 3,373.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.52 : 9,218.14 = 2,248.80 : x
  2. Step 2: Convert to fraction form
    6,144.52/9,218.14 = 2,248.80/x
  3. Step 3: Cross multiply
    6,144.52x = 9,218.14 × 2,248.80
  4. Step 4: Simplify right side
    6,144.52x = 20,729,753.23
  5. Step 5: Solve for x
    x = 20,729,753.23/6,144.52
  6. Step 6: Final answer
    x = 3,373.70

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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.