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Finding the Fourth Proportional to 6,382.92, 9,574.10 and 2,634.60

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Solution

The fourth proportional to 6,382.92, 9,574.10 and 2,634.60 is: 3,951.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.92 : 9,574.10 = 2,634.60 : x
  2. Step 2: Convert to fraction form
    6,382.92/9,574.10 = 2,634.60/x
  3. Step 3: Cross multiply
    6,382.92x = 9,574.10 × 2,634.60
  4. Step 4: Simplify right side
    6,382.92x = 25,223,923.86
  5. Step 5: Solve for x
    x = 25,223,923.86/6,382.92
  6. Step 6: Final answer
    x = 3,951.78

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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.