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Finding the Fourth Proportional to 6,734.50, 9,292.20 and 3,901.71

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Solution

The fourth proportional to 6,734.50, 9,292.20 and 3,901.71 is: 5,383.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,734.50 : 9,292.20 = 3,901.71 : x
  2. Step 2: Convert to fraction form
    6,734.50/9,292.20 = 3,901.71/x
  3. Step 3: Cross multiply
    6,734.50x = 9,292.20 × 3,901.71
  4. Step 4: Simplify right side
    6,734.50x = 36,255,469.66
  5. Step 5: Solve for x
    x = 36,255,469.66/6,734.50
  6. Step 6: Final answer
    x = 5,383.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.