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Finding the Fourth Proportional to 6,488.32, 9,727.92 and 2,270.55

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Solution

The fourth proportional to 6,488.32, 9,727.92 and 2,270.55 is: 3,404.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,488.32 : 9,727.92 = 2,270.55 : x
  2. Step 2: Convert to fraction form
    6,488.32/9,727.92 = 2,270.55/x
  3. Step 3: Cross multiply
    6,488.32x = 9,727.92 × 2,270.55
  4. Step 4: Simplify right side
    6,488.32x = 22,087,728.76
  5. Step 5: Solve for x
    x = 22,087,728.76/6,488.32
  6. Step 6: Final answer
    x = 3,404.23

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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.