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Finding the Fourth Proportional to 6,469.39, 9,717.91 and 4,632.31

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Solution

The fourth proportional to 6,469.39, 9,717.91 and 4,632.31 is: 6,958.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.39 : 9,717.91 = 4,632.31 : x
  2. Step 2: Convert to fraction form
    6,469.39/9,717.91 = 4,632.31/x
  3. Step 3: Cross multiply
    6,469.39x = 9,717.91 × 4,632.31
  4. Step 4: Simplify right side
    6,469.39x = 45,016,372.24
  5. Step 5: Solve for x
    x = 45,016,372.24/6,469.39
  6. Step 6: Final answer
    x = 6,958.36

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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.