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Finding the Fourth Proportional to 9,096.87, 13,625.56 and 5,576.41

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Solution

The fourth proportional to 9,096.87, 13,625.56 and 5,576.41 is: 8,352.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,096.87 : 13,625.56 = 5,576.41 : x
  2. Step 2: Convert to fraction form
    9,096.87/13,625.56 = 5,576.41/x
  3. Step 3: Cross multiply
    9,096.87x = 13,625.56 × 5,576.41
  4. Step 4: Simplify right side
    9,096.87x = 75,981,709.04
  5. Step 5: Solve for x
    x = 75,981,709.04/9,096.87
  6. Step 6: Final answer
    x = 8,352.51

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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.