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Finding the Fourth Proportional to 9,899.42, 13,662.96 and 5,920.97

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Solution

The fourth proportional to 9,899.42, 13,662.96 and 5,920.97 is: 8,171.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,899.42 : 13,662.96 = 5,920.97 : x
  2. Step 2: Convert to fraction form
    9,899.42/13,662.96 = 5,920.97/x
  3. Step 3: Cross multiply
    9,899.42x = 13,662.96 × 5,920.97
  4. Step 4: Simplify right side
    9,899.42x = 80,897,976.27
  5. Step 5: Solve for x
    x = 80,897,976.27/9,899.42
  6. Step 6: Final answer
    x = 8,171.99

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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.