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Finding the Fourth Proportional to 6,497.38, 9,743.77 and 2,280.19

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Solution

The fourth proportional to 6,497.38, 9,743.77 and 2,280.19 is: 3,419.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,497.38 : 9,743.77 = 2,280.19 : x
  2. Step 2: Convert to fraction form
    6,497.38/9,743.77 = 2,280.19/x
  3. Step 3: Cross multiply
    6,497.38x = 9,743.77 × 2,280.19
  4. Step 4: Simplify right side
    6,497.38x = 22,217,646.92
  5. Step 5: Solve for x
    x = 22,217,646.92/6,497.38
  6. Step 6: Final answer
    x = 3,419.48

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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.