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Finding the Fourth Proportional to 6,121.91, 9,174.67 and 2,997.14

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Solution

The fourth proportional to 6,121.91, 9,174.67 and 2,997.14 is: 4,491.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,121.91 : 9,174.67 = 2,997.14 : x
  2. Step 2: Convert to fraction form
    6,121.91/9,174.67 = 2,997.14/x
  3. Step 3: Cross multiply
    6,121.91x = 9,174.67 × 2,997.14
  4. Step 4: Simplify right side
    6,121.91x = 27,497,717.08
  5. Step 5: Solve for x
    x = 27,497,717.08/6,121.91
  6. Step 6: Final answer
    x = 4,491.69

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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.