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Finding the Fourth Proportional to 6,109.50, 9,164.25 and 2,213.91

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Solution

The fourth proportional to 6,109.50, 9,164.25 and 2,213.91 is: 3,320.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.50 : 9,164.25 = 2,213.91 : x
  2. Step 2: Convert to fraction form
    6,109.50/9,164.25 = 2,213.91/x
  3. Step 3: Cross multiply
    6,109.50x = 9,164.25 × 2,213.91
  4. Step 4: Simplify right side
    6,109.50x = 20,288,824.72
  5. Step 5: Solve for x
    x = 20,288,824.72/6,109.50
  6. Step 6: Final answer
    x = 3,320.87

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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.