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Finding the Fourth Proportional to 6,516.52, 9,729.17 and 5,963.56

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Solution

The fourth proportional to 6,516.52, 9,729.17 and 5,963.56 is: 8,903.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.52 : 9,729.17 = 5,963.56 : x
  2. Step 2: Convert to fraction form
    6,516.52/9,729.17 = 5,963.56/x
  3. Step 3: Cross multiply
    6,516.52x = 9,729.17 × 5,963.56
  4. Step 4: Simplify right side
    6,516.52x = 58,020,489.05
  5. Step 5: Solve for x
    x = 58,020,489.05/6,516.52
  6. Step 6: Final answer
    x = 8,903.60

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.