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Finding the Fourth Proportional to 6,309.36, 9,469.90 and 3,191.57

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Solution

The fourth proportional to 6,309.36, 9,469.90 and 3,191.57 is: 4,790.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,309.36 : 9,469.90 = 3,191.57 : x
  2. Step 2: Convert to fraction form
    6,309.36/9,469.90 = 3,191.57/x
  3. Step 3: Cross multiply
    6,309.36x = 9,469.90 × 3,191.57
  4. Step 4: Simplify right side
    6,309.36x = 30,223,793.41
  5. Step 5: Solve for x
    x = 30,223,793.41/6,309.36
  6. Step 6: Final answer
    x = 4,790.31

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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.