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Finding the Fourth Proportional to 9,324.82, 13,987.28 and 3,481.38

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Solution

The fourth proportional to 9,324.82, 13,987.28 and 3,481.38 is: 5,222.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.82 : 13,987.28 = 3,481.38 : x
  2. Step 2: Convert to fraction form
    9,324.82/13,987.28 = 3,481.38/x
  3. Step 3: Cross multiply
    9,324.82x = 13,987.28 × 3,481.38
  4. Step 4: Simplify right side
    9,324.82x = 48,695,036.85
  5. Step 5: Solve for x
    x = 48,695,036.85/9,324.82
  6. Step 6: Final answer
    x = 5,222.09

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