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Finding the Fourth Proportional to 9,924.26, 13,694.17 and 5,944.58

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Solution

The fourth proportional to 9,924.26, 13,694.17 and 5,944.58 is: 8,202.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,924.26 : 13,694.17 = 5,944.58 : x
  2. Step 2: Convert to fraction form
    9,924.26/13,694.17 = 5,944.58/x
  3. Step 3: Cross multiply
    9,924.26x = 13,694.17 × 5,944.58
  4. Step 4: Simplify right side
    9,924.26x = 81,406,089.10
  5. Step 5: Solve for x
    x = 81,406,089.10/9,924.26
  6. Step 6: Final answer
    x = 8,202.74

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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.