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Finding the Fourth Proportional to 6,103.98, 9,147.87 and 2,204.64

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Solution

The fourth proportional to 6,103.98, 9,147.87 and 2,204.64 is: 3,304.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.98 : 9,147.87 = 2,204.64 : x
  2. Step 2: Convert to fraction form
    6,103.98/9,147.87 = 2,204.64/x
  3. Step 3: Cross multiply
    6,103.98x = 9,147.87 × 2,204.64
  4. Step 4: Simplify right side
    6,103.98x = 20,167,760.12
  5. Step 5: Solve for x
    x = 20,167,760.12/6,103.98
  6. Step 6: Final answer
    x = 3,304.03

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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.