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Finding the Fourth Proportional to 6,819.82, 9,411.62 and 3,835.54

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Solution

The fourth proportional to 6,819.82, 9,411.62 and 3,835.54 is: 5,293.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.82 : 9,411.62 = 3,835.54 : x
  2. Step 2: Convert to fraction form
    6,819.82/9,411.62 = 3,835.54/x
  3. Step 3: Cross multiply
    6,819.82x = 9,411.62 × 3,835.54
  4. Step 4: Simplify right side
    6,819.82x = 36,098,644.97
  5. Step 5: Solve for x
    x = 36,098,644.97/6,819.82
  6. Step 6: Final answer
    x = 5,293.20

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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.