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Finding the Fourth Proportional to 6,101.20, 9,151.78 and 1,997.20

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Solution

The fourth proportional to 6,101.20, 9,151.78 and 1,997.20 is: 2,995.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,101.20 : 9,151.78 = 1,997.20 : x
  2. Step 2: Convert to fraction form
    6,101.20/9,151.78 = 1,997.20/x
  3. Step 3: Cross multiply
    6,101.20x = 9,151.78 × 1,997.20
  4. Step 4: Simplify right side
    6,101.20x = 18,277,935.02
  5. Step 5: Solve for x
    x = 18,277,935.02/6,101.20
  6. Step 6: Final answer
    x = 2,995.79

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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.