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Finding the Fourth Proportional to 6,105.65, 9,152.87 and 2,207.25

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Solution

The fourth proportional to 6,105.65, 9,152.87 and 2,207.25 is: 3,308.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.65 : 9,152.87 = 2,207.25 : x
  2. Step 2: Convert to fraction form
    6,105.65/9,152.87 = 2,207.25/x
  3. Step 3: Cross multiply
    6,105.65x = 9,152.87 × 2,207.25
  4. Step 4: Simplify right side
    6,105.65x = 20,202,661.27
  5. Step 5: Solve for x
    x = 20,202,661.27/6,105.65
  6. Step 6: Final answer
    x = 3,308.85

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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.