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Finding the Fourth Proportional to 9,481.82, 14,211.65 and 7,134.27

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Solution

The fourth proportional to 9,481.82, 14,211.65 and 7,134.27 is: 10,693.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.82 : 14,211.65 = 7,134.27 : x
  2. Step 2: Convert to fraction form
    9,481.82/14,211.65 = 7,134.27/x
  3. Step 3: Cross multiply
    9,481.82x = 14,211.65 × 7,134.27
  4. Step 4: Simplify right side
    9,481.82x = 101,389,712.57
  5. Step 5: Solve for x
    x = 101,389,712.57/9,481.82
  6. Step 6: Final answer
    x = 10,693.07

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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.