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Finding the Fourth Proportional to 6,469.12, 9,704.56 and 2,086.08

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Solution

The fourth proportional to 6,469.12, 9,704.56 and 2,086.08 is: 3,129.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.12 : 9,704.56 = 2,086.08 : x
  2. Step 2: Convert to fraction form
    6,469.12/9,704.56 = 2,086.08/x
  3. Step 3: Cross multiply
    6,469.12x = 9,704.56 × 2,086.08
  4. Step 4: Simplify right side
    6,469.12x = 20,244,488.52
  5. Step 5: Solve for x
    x = 20,244,488.52/6,469.12
  6. Step 6: Final answer
    x = 3,129.40

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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.