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Finding the Fourth Proportional to 9,520.67, 13,136.96 and 5,981.38

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Solution

The fourth proportional to 9,520.67, 13,136.96 and 5,981.38 is: 8,253.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,520.67 : 13,136.96 = 5,981.38 : x
  2. Step 2: Convert to fraction form
    9,520.67/13,136.96 = 5,981.38/x
  3. Step 3: Cross multiply
    9,520.67x = 13,136.96 × 5,981.38
  4. Step 4: Simplify right side
    9,520.67x = 78,577,084.12
  5. Step 5: Solve for x
    x = 78,577,084.12/9,520.67
  6. Step 6: Final answer
    x = 8,253.31

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.