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Finding the Fourth Proportional to 6,446.39, 8,894.36 and 3,793.31

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Solution

The fourth proportional to 6,446.39, 8,894.36 and 3,793.31 is: 5,233.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,446.39 : 8,894.36 = 3,793.31 : x
  2. Step 2: Convert to fraction form
    6,446.39/8,894.36 = 3,793.31/x
  3. Step 3: Cross multiply
    6,446.39x = 8,894.36 × 3,793.31
  4. Step 4: Simplify right side
    6,446.39x = 33,739,029.74
  5. Step 5: Solve for x
    x = 33,739,029.74/6,446.39
  6. Step 6: Final answer
    x = 5,233.78

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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.