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Finding the Fourth Proportional to 6,380.17, 9,570.26 and 1,997.97

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Solution

The fourth proportional to 6,380.17, 9,570.26 and 1,997.97 is: 2,996.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,380.17 : 9,570.26 = 1,997.97 : x
  2. Step 2: Convert to fraction form
    6,380.17/9,570.26 = 1,997.97/x
  3. Step 3: Cross multiply
    6,380.17x = 9,570.26 × 1,997.97
  4. Step 4: Simplify right side
    6,380.17x = 19,121,082.38
  5. Step 5: Solve for x
    x = 19,121,082.38/6,380.17
  6. Step 6: Final answer
    x = 2,996.96

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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.