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Finding the Fourth Proportional to 6,743.90, 9,305.81 and 3,910.68

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Solution

The fourth proportional to 6,743.90, 9,305.81 and 3,910.68 is: 5,396.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,743.90 : 9,305.81 = 3,910.68 : x
  2. Step 2: Convert to fraction form
    6,743.90/9,305.81 = 3,910.68/x
  3. Step 3: Cross multiply
    6,743.90x = 9,305.81 × 3,910.68
  4. Step 4: Simplify right side
    6,743.90x = 36,392,025.50
  5. Step 5: Solve for x
    x = 36,392,025.50/6,743.90
  6. Step 6: Final answer
    x = 5,396.29

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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.