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Finding the Fourth Proportional to 9,330.87, 13,996.31 and 2,761.66

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Solution

The fourth proportional to 9,330.87, 13,996.31 and 2,761.66 is: 4,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,330.87 : 13,996.31 = 2,761.66 : x
  2. Step 2: Convert to fraction form
    9,330.87/13,996.31 = 2,761.66/x
  3. Step 3: Cross multiply
    9,330.87x = 13,996.31 × 2,761.66
  4. Step 4: Simplify right side
    9,330.87x = 38,653,049.47
  5. Step 5: Solve for x
    x = 38,653,049.47/9,330.87
  6. Step 6: Final answer
    x = 4,142.49

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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.