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Finding the Fourth Proportional to 6,280.26, 9,414.63 and 2,815.62

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Solution

The fourth proportional to 6,280.26, 9,414.63 and 2,815.62 is: 4,220.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.26 : 9,414.63 = 2,815.62 : x
  2. Step 2: Convert to fraction form
    6,280.26/9,414.63 = 2,815.62/x
  3. Step 3: Cross multiply
    6,280.26x = 9,414.63 × 2,815.62
  4. Step 4: Simplify right side
    6,280.26x = 26,508,020.52
  5. Step 5: Solve for x
    x = 26,508,020.52/6,280.26
  6. Step 6: Final answer
    x = 4,220.85

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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.