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Finding the Fourth Proportional to 6,481.62, 9,722.73 and 2,099.42

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Solution

The fourth proportional to 6,481.62, 9,722.73 and 2,099.42 is: 3,149.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.62 : 9,722.73 = 2,099.42 : x
  2. Step 2: Convert to fraction form
    6,481.62/9,722.73 = 2,099.42/x
  3. Step 3: Cross multiply
    6,481.62x = 9,722.73 × 2,099.42
  4. Step 4: Simplify right side
    6,481.62x = 20,412,093.82
  5. Step 5: Solve for x
    x = 20,412,093.82/6,481.62
  6. Step 6: Final answer
    x = 3,149.23

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.