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Finding the Fourth Proportional to 6,766.85, 9,338.23 and 3,782.69

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Solution

The fourth proportional to 6,766.85, 9,338.23 and 3,782.69 is: 5,220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.85 : 9,338.23 = 3,782.69 : x
  2. Step 2: Convert to fraction form
    6,766.85/9,338.23 = 3,782.69/x
  3. Step 3: Cross multiply
    6,766.85x = 9,338.23 × 3,782.69
  4. Step 4: Simplify right side
    6,766.85x = 35,323,629.24
  5. Step 5: Solve for x
    x = 35,323,629.24/6,766.85
  6. Step 6: Final answer
    x = 5,220.10

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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.