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Finding the Fourth Proportional to 6,770.36, 9,342.25 and 3,785.71

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Solution

The fourth proportional to 6,770.36, 9,342.25 and 3,785.71 is: 5,223.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.36 : 9,342.25 = 3,785.71 : x
  2. Step 2: Convert to fraction form
    6,770.36/9,342.25 = 3,785.71/x
  3. Step 3: Cross multiply
    6,770.36x = 9,342.25 × 3,785.71
  4. Step 4: Simplify right side
    6,770.36x = 35,367,016.43
  5. Step 5: Solve for x
    x = 35,367,016.43/6,770.36
  6. Step 6: Final answer
    x = 5,223.81

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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.