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Finding the Fourth Proportional to 9,950.91, 13,732.12 and 5,474.56

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Solution

The fourth proportional to 9,950.91, 13,732.12 and 5,474.56 is: 7,554.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.91 : 13,732.12 = 5,474.56 : x
  2. Step 2: Convert to fraction form
    9,950.91/13,732.12 = 5,474.56/x
  3. Step 3: Cross multiply
    9,950.91x = 13,732.12 × 5,474.56
  4. Step 4: Simplify right side
    9,950.91x = 75,177,344.05
  5. Step 5: Solve for x
    x = 75,177,344.05/9,950.91
  6. Step 6: Final answer
    x = 7,554.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.