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Finding the Fourth Proportional to 6,900.75, 9,523.24 and 3,757.14

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Solution

The fourth proportional to 6,900.75, 9,523.24 and 3,757.14 is: 5,184.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,900.75 : 9,523.24 = 3,757.14 : x
  2. Step 2: Convert to fraction form
    6,900.75/9,523.24 = 3,757.14/x
  3. Step 3: Cross multiply
    6,900.75x = 9,523.24 × 3,757.14
  4. Step 4: Simplify right side
    6,900.75x = 35,780,136.54
  5. Step 5: Solve for x
    x = 35,780,136.54/6,900.75
  6. Step 6: Final answer
    x = 5,184.96

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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.