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Finding the Fourth Proportional to 6,766.65, 9,338.91 and 3,782.70

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Solution

The fourth proportional to 6,766.65, 9,338.91 and 3,782.70 is: 5,220.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.65 : 9,338.91 = 3,782.70 : x
  2. Step 2: Convert to fraction form
    6,766.65/9,338.91 = 3,782.70/x
  3. Step 3: Cross multiply
    6,766.65x = 9,338.91 × 3,782.70
  4. Step 4: Simplify right side
    6,766.65x = 35,326,294.86
  5. Step 5: Solve for x
    x = 35,326,294.86/6,766.65
  6. Step 6: Final answer
    x = 5,220.65

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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.