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Finding the Fourth Proportional to 6,517.71, 9,757.92 and 4,322.07

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Solution

The fourth proportional to 6,517.71, 9,757.92 and 4,322.07 is: 6,470.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,517.71 : 9,757.92 = 4,322.07 : x
  2. Step 2: Convert to fraction form
    6,517.71/9,757.92 = 4,322.07/x
  3. Step 3: Cross multiply
    6,517.71x = 9,757.92 × 4,322.07
  4. Step 4: Simplify right side
    6,517.71x = 42,174,413.29
  5. Step 5: Solve for x
    x = 42,174,413.29/6,517.71
  6. Step 6: Final answer
    x = 6,470.74

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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.