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Finding the Fourth Proportional to 6,819.32, 9,409.78 and 3,834.68

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Solution

The fourth proportional to 6,819.32, 9,409.78 and 3,834.68 is: 5,291.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,819.32 : 9,409.78 = 3,834.68 : x
  2. Step 2: Convert to fraction form
    6,819.32/9,409.78 = 3,834.68/x
  3. Step 3: Cross multiply
    6,819.32x = 9,409.78 × 3,834.68
  4. Step 4: Simplify right side
    6,819.32x = 36,083,495.17
  5. Step 5: Solve for x
    x = 36,083,495.17/6,819.32
  6. Step 6: Final answer
    x = 5,291.36

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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.