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Finding the Fourth Proportional to 6,474.89, 9,712.33 and 2,092.34

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Solution

The fourth proportional to 6,474.89, 9,712.33 and 2,092.34 is: 3,138.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,474.89 : 9,712.33 = 2,092.34 : x
  2. Step 2: Convert to fraction form
    6,474.89/9,712.33 = 2,092.34/x
  3. Step 3: Cross multiply
    6,474.89x = 9,712.33 × 2,092.34
  4. Step 4: Simplify right side
    6,474.89x = 20,321,515.60
  5. Step 5: Solve for x
    x = 20,321,515.60/6,474.89
  6. Step 6: Final answer
    x = 3,138.51

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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.