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Finding the Fourth Proportional to 6,744.60, 9,306.36 and 3,760.20

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Solution

The fourth proportional to 6,744.60, 9,306.36 and 3,760.20 is: 5,188.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.60 : 9,306.36 = 3,760.20 : x
  2. Step 2: Convert to fraction form
    6,744.60/9,306.36 = 3,760.20/x
  3. Step 3: Cross multiply
    6,744.60x = 9,306.36 × 3,760.20
  4. Step 4: Simplify right side
    6,744.60x = 34,993,774.87
  5. Step 5: Solve for x
    x = 34,993,774.87/6,744.60
  6. Step 6: Final answer
    x = 5,188.41

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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.