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Finding the Fourth Proportional to 9,560.38, 13,192.62 and 5,581.86

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Solution

The fourth proportional to 9,560.38, 13,192.62 and 5,581.86 is: 7,702.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,560.38 : 13,192.62 = 5,581.86 : x
  2. Step 2: Convert to fraction form
    9,560.38/13,192.62 = 5,581.86/x
  3. Step 3: Cross multiply
    9,560.38x = 13,192.62 × 5,581.86
  4. Step 4: Simplify right side
    9,560.38x = 73,639,393.08
  5. Step 5: Solve for x
    x = 73,639,393.08/9,560.38
  6. Step 6: Final answer
    x = 7,702.56

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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.