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Finding the Fourth Proportional to 8,959.80, 13,441.32 and 3,691.88

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Solution

The fourth proportional to 8,959.80, 13,441.32 and 3,691.88 is: 5,538.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,959.80 : 13,441.32 = 3,691.88 : x
  2. Step 2: Convert to fraction form
    8,959.80/13,441.32 = 3,691.88/x
  3. Step 3: Cross multiply
    8,959.80x = 13,441.32 × 3,691.88
  4. Step 4: Simplify right side
    8,959.80x = 49,623,740.48
  5. Step 5: Solve for x
    x = 49,623,740.48/8,959.80
  6. Step 6: Final answer
    x = 5,538.49

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.