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Finding the Fourth Proportional to 6,766.43, 9,337.81 and 3,741.56

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Solution

The fourth proportional to 6,766.43, 9,337.81 and 3,741.56 is: 5,163.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.43 : 9,337.81 = 3,741.56 : x
  2. Step 2: Convert to fraction form
    6,766.43/9,337.81 = 3,741.56/x
  3. Step 3: Cross multiply
    6,766.43x = 9,337.81 × 3,741.56
  4. Step 4: Simplify right side
    6,766.43x = 34,937,929.69
  5. Step 5: Solve for x
    x = 34,937,929.69/6,766.43
  6. Step 6: Final answer
    x = 5,163.42

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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.