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Finding the Fourth Proportional to 6,133.52, 9,197.09 and 2,183.25

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Solution

The fourth proportional to 6,133.52, 9,197.09 and 2,183.25 is: 3,273.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.52 : 9,197.09 = 2,183.25 : x
  2. Step 2: Convert to fraction form
    6,133.52/9,197.09 = 2,183.25/x
  3. Step 3: Cross multiply
    6,133.52x = 9,197.09 × 2,183.25
  4. Step 4: Simplify right side
    6,133.52x = 20,079,590.78
  5. Step 5: Solve for x
    x = 20,079,590.78/6,133.52
  6. Step 6: Final answer
    x = 3,273.75

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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.