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Finding the Fourth Proportional to 6,819.11, 9,409.82 and 3,834.39

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Solution

The fourth proportional to 6,819.11, 9,409.82 and 3,834.39 is: 5,291.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.11 : 9,409.82 = 3,834.39 : x
  2. Step 2: Convert to fraction form
    6,819.11/9,409.82 = 3,834.39/x
  3. Step 3: Cross multiply
    6,819.11x = 9,409.82 × 3,834.39
  4. Step 4: Simplify right side
    6,819.11x = 36,080,919.71
  5. Step 5: Solve for x
    x = 36,080,919.71/6,819.11
  6. Step 6: Final answer
    x = 5,291.15

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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.