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Finding the Fourth Proportional to 6,516.57, 9,781.65 and 3,232.02

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Solution

The fourth proportional to 6,516.57, 9,781.65 and 3,232.02 is: 4,851.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.57 : 9,781.65 = 3,232.02 : x
  2. Step 2: Convert to fraction form
    6,516.57/9,781.65 = 3,232.02/x
  3. Step 3: Cross multiply
    6,516.57x = 9,781.65 × 3,232.02
  4. Step 4: Simplify right side
    6,516.57x = 31,614,488.43
  5. Step 5: Solve for x
    x = 31,614,488.43/6,516.57
  6. Step 6: Final answer
    x = 4,851.40

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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.