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Finding the Fourth Proportional to 6,789.39, 9,369.24 and 3,764.50

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Solution

The fourth proportional to 6,789.39, 9,369.24 and 3,764.50 is: 5,194.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,789.39 : 9,369.24 = 3,764.50 : x
  2. Step 2: Convert to fraction form
    6,789.39/9,369.24 = 3,764.50/x
  3. Step 3: Cross multiply
    6,789.39x = 9,369.24 × 3,764.50
  4. Step 4: Simplify right side
    6,789.39x = 35,270,494.91
  5. Step 5: Solve for x
    x = 35,270,494.91/6,789.39
  6. Step 6: Final answer
    x = 5,194.94

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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.