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Finding the Fourth Proportional to 9,198.72, 13,793.76 and 4,265.28

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Solution

The fourth proportional to 9,198.72, 13,793.76 and 4,265.28 is: 6,395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.72 : 13,793.76 = 4,265.28 : x
  2. Step 2: Convert to fraction form
    9,198.72/13,793.76 = 4,265.28/x
  3. Step 3: Cross multiply
    9,198.72x = 13,793.76 × 4,265.28
  4. Step 4: Simplify right side
    9,198.72x = 58,834,248.65
  5. Step 5: Solve for x
    x = 58,834,248.65/9,198.72
  6. Step 6: Final answer
    x = 6,395.92

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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.