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Finding the Fourth Proportional to 6,103.10, 9,149.10 and 2,204.75

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Solution

The fourth proportional to 6,103.10, 9,149.10 and 2,204.75 is: 3,305.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.10 : 9,149.10 = 2,204.75 : x
  2. Step 2: Convert to fraction form
    6,103.10/9,149.10 = 2,204.75/x
  3. Step 3: Cross multiply
    6,103.10x = 9,149.10 × 2,204.75
  4. Step 4: Simplify right side
    6,103.10x = 20,171,478.23
  5. Step 5: Solve for x
    x = 20,171,478.23/6,103.10
  6. Step 6: Final answer
    x = 3,305.12

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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.