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Finding the Fourth Proportional to 6,439.96, 9,661.33 and 1,997.54

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Solution

The fourth proportional to 6,439.96, 9,661.33 and 1,997.54 is: 2,996.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.96 : 9,661.33 = 1,997.54 : x
  2. Step 2: Convert to fraction form
    6,439.96/9,661.33 = 1,997.54/x
  3. Step 3: Cross multiply
    6,439.96x = 9,661.33 × 1,997.54
  4. Step 4: Simplify right side
    6,439.96x = 19,298,845.14
  5. Step 5: Solve for x
    x = 19,298,845.14/6,439.96
  6. Step 6: Final answer
    x = 2,996.73

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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.