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Finding the Fourth Proportional to 6,785.34, 9,363.26 and 3,800.78

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Solution

The fourth proportional to 6,785.34, 9,363.26 and 3,800.78 is: 5,244.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,785.34 : 9,363.26 = 3,800.78 : x
  2. Step 2: Convert to fraction form
    6,785.34/9,363.26 = 3,800.78/x
  3. Step 3: Cross multiply
    6,785.34x = 9,363.26 × 3,800.78
  4. Step 4: Simplify right side
    6,785.34x = 35,587,691.34
  5. Step 5: Solve for x
    x = 35,587,691.34/6,785.34
  6. Step 6: Final answer
    x = 5,244.79

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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.