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Finding the Fourth Proportional to 9,923.90, 13,694.92 and 5,447.72

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Solution

The fourth proportional to 9,923.90, 13,694.92 and 5,447.72 is: 7,517.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,923.90 : 13,694.92 = 5,447.72 : x
  2. Step 2: Convert to fraction form
    9,923.90/13,694.92 = 5,447.72/x
  3. Step 3: Cross multiply
    9,923.90x = 13,694.92 × 5,447.72
  4. Step 4: Simplify right side
    9,923.90x = 74,606,140.84
  5. Step 5: Solve for x
    x = 74,606,140.84/9,923.90
  6. Step 6: Final answer
    x = 7,517.83

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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.