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Finding the Fourth Proportional to 9,924.10, 13,694.86 and 5,447.70

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Solution

The fourth proportional to 9,924.10, 13,694.86 and 5,447.70 is: 7,517.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.10 : 13,694.86 = 5,447.70 : x
  2. Step 2: Convert to fraction form
    9,924.10/13,694.86 = 5,447.70/x
  3. Step 3: Cross multiply
    9,924.10x = 13,694.86 × 5,447.70
  4. Step 4: Simplify right side
    9,924.10x = 74,605,488.82
  5. Step 5: Solve for x
    x = 74,605,488.82/9,924.10
  6. Step 6: Final answer
    x = 7,517.61

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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.