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Finding the Fourth Proportional to 6,275.43, 9,407.56 and 2,382.57

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Solution

The fourth proportional to 6,275.43, 9,407.56 and 2,382.57 is: 3,571.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,275.43 : 9,407.56 = 2,382.57 : x
  2. Step 2: Convert to fraction form
    6,275.43/9,407.56 = 2,382.57/x
  3. Step 3: Cross multiply
    6,275.43x = 9,407.56 × 2,382.57
  4. Step 4: Simplify right side
    6,275.43x = 22,414,164.27
  5. Step 5: Solve for x
    x = 22,414,164.27/6,275.43
  6. Step 6: Final answer
    x = 3,571.73

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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.