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Finding the Fourth Proportional to 7,131.76, 9,841.82 and 4,149.32

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Solution

The fourth proportional to 7,131.76, 9,841.82 and 4,149.32 is: 5,726.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,131.76 : 9,841.82 = 4,149.32 : x
  2. Step 2: Convert to fraction form
    7,131.76/9,841.82 = 4,149.32/x
  3. Step 3: Cross multiply
    7,131.76x = 9,841.82 × 4,149.32
  4. Step 4: Simplify right side
    7,131.76x = 40,836,860.56
  5. Step 5: Solve for x
    x = 40,836,860.56/7,131.76
  6. Step 6: Final answer
    x = 5,726.06

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