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Finding the Fourth Proportional to 6,380.09, 9,568.76 and 1,996.97

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Solution

The fourth proportional to 6,380.09, 9,568.76 and 1,996.97 is: 2,995.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.09 : 9,568.76 = 1,996.97 : x
  2. Step 2: Convert to fraction form
    6,380.09/9,568.76 = 1,996.97/x
  3. Step 3: Cross multiply
    6,380.09x = 9,568.76 × 1,996.97
  4. Step 4: Simplify right side
    6,380.09x = 19,108,468.83
  5. Step 5: Solve for x
    x = 19,108,468.83/6,380.09
  6. Step 6: Final answer
    x = 2,995.02

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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.