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Finding the Fourth Proportional to 6,766.69, 9,337.80 and 3,782.47

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Solution

The fourth proportional to 6,766.69, 9,337.80 and 3,782.47 is: 5,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,766.69 : 9,337.80 = 3,782.47 : x
  2. Step 2: Convert to fraction form
    6,766.69/9,337.80 = 3,782.47/x
  3. Step 3: Cross multiply
    6,766.69x = 9,337.80 × 3,782.47
  4. Step 4: Simplify right side
    6,766.69x = 35,319,948.37
  5. Step 5: Solve for x
    x = 35,319,948.37/6,766.69
  6. Step 6: Final answer
    x = 5,219.68

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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.