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Finding the Fourth Proportional to 9,950.87, 13,732.56 and 5,474.96

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Solution

The fourth proportional to 9,950.87, 13,732.56 and 5,474.96 is: 7,555.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,950.87 : 13,732.56 = 5,474.96 : x
  2. Step 2: Convert to fraction form
    9,950.87/13,732.56 = 5,474.96/x
  3. Step 3: Cross multiply
    9,950.87x = 13,732.56 × 5,474.96
  4. Step 4: Simplify right side
    9,950.87x = 75,185,148.03
  5. Step 5: Solve for x
    x = 75,185,148.03/9,950.87
  6. Step 6: Final answer
    x = 7,555.64

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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.