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Finding the Fourth Proportional to 6,276.65, 9,414.90 and 1,532.85

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Solution

The fourth proportional to 6,276.65, 9,414.90 and 1,532.85 is: 2,299.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,276.65 : 9,414.90 = 1,532.85 : x
  2. Step 2: Convert to fraction form
    6,276.65/9,414.90 = 1,532.85/x
  3. Step 3: Cross multiply
    6,276.65x = 9,414.90 × 1,532.85
  4. Step 4: Simplify right side
    6,276.65x = 14,431,594.16
  5. Step 5: Solve for x
    x = 14,431,594.16/6,276.65
  6. Step 6: Final answer
    x = 2,299.25

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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.