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Finding the Fourth Proportional to 6,744.37, 9,306.85 and 3,760.10

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Solution

The fourth proportional to 6,744.37, 9,306.85 and 3,760.10 is: 5,188.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.37 : 9,306.85 = 3,760.10 : x
  2. Step 2: Convert to fraction form
    6,744.37/9,306.85 = 3,760.10/x
  3. Step 3: Cross multiply
    6,744.37x = 9,306.85 × 3,760.10
  4. Step 4: Simplify right side
    6,744.37x = 34,994,725.05
  5. Step 5: Solve for x
    x = 34,994,725.05/6,744.37
  6. Step 6: Final answer
    x = 5,188.73

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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.