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Finding the Fourth Proportional to 6,766.67, 9,338.09 and 3,782.53

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Solution

The fourth proportional to 6,766.67, 9,338.09 and 3,782.53 is: 5,219.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.67 : 9,338.09 = 3,782.53 : x
  2. Step 2: Convert to fraction form
    6,766.67/9,338.09 = 3,782.53/x
  3. Step 3: Cross multiply
    6,766.67x = 9,338.09 × 3,782.53
  4. Step 4: Simplify right side
    6,766.67x = 35,321,598.33
  5. Step 5: Solve for x
    x = 35,321,598.33/6,766.67
  6. Step 6: Final answer
    x = 5,219.94

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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.