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Finding the Fourth Proportional to 9,161.62, 13,744.56 and 3,896.92

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Solution

The fourth proportional to 9,161.62, 13,744.56 and 3,896.92 is: 5,846.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,161.62 : 13,744.56 = 3,896.92 : x
  2. Step 2: Convert to fraction form
    9,161.62/13,744.56 = 3,896.92/x
  3. Step 3: Cross multiply
    9,161.62x = 13,744.56 × 3,896.92
  4. Step 4: Simplify right side
    9,161.62x = 53,561,450.76
  5. Step 5: Solve for x
    x = 53,561,450.76/9,161.62
  6. Step 6: Final answer
    x = 5,846.29

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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.