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Finding the Fourth Proportional to 6,344.88, 9,517.32 and 5,959.53

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Solution

The fourth proportional to 6,344.88, 9,517.32 and 5,959.53 is: 8,939.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.88 : 9,517.32 = 5,959.53 : x
  2. Step 2: Convert to fraction form
    6,344.88/9,517.32 = 5,959.53/x
  3. Step 3: Cross multiply
    6,344.88x = 9,517.32 × 5,959.53
  4. Step 4: Simplify right side
    6,344.88x = 56,718,754.06
  5. Step 5: Solve for x
    x = 56,718,754.06/6,344.88
  6. Step 6: Final answer
    x = 8,939.30

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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.