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Finding the Fourth Proportional to 9,481.96, 14,251.26 and 7,849

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Solution

The fourth proportional to 9,481.96, 14,251.26 and 7,849 is: 11,796.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.96 : 14,251.26 = 7,849 : x
  2. Step 2: Convert to fraction form
    9,481.96/14,251.26 = 7,849/x
  3. Step 3: Cross multiply
    9,481.96x = 14,251.26 × 7,849
  4. Step 4: Simplify right side
    9,481.96x = 111,858,139.74
  5. Step 5: Solve for x
    x = 111,858,139.74/9,481.96
  6. Step 6: Final answer
    x = 11,796.94

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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.