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Finding the Fourth Proportional to 6,105.90, 9,154.74 and 2,209.80

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Solution

The fourth proportional to 6,105.90, 9,154.74 and 2,209.80 is: 3,313.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,105.90 : 9,154.74 = 2,209.80 : x
  2. Step 2: Convert to fraction form
    6,105.90/9,154.74 = 2,209.80/x
  3. Step 3: Cross multiply
    6,105.90x = 9,154.74 × 2,209.80
  4. Step 4: Simplify right side
    6,105.90x = 20,230,144.45
  5. Step 5: Solve for x
    x = 20,230,144.45/6,105.90
  6. Step 6: Final answer
    x = 3,313.21

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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.