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Finding the Fourth Proportional to 6,481.83, 9,716.43 and 3,517.60

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Solution

The fourth proportional to 6,481.83, 9,716.43 and 3,517.60 is: 5,272.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,481.83 : 9,716.43 = 3,517.60 : x
  2. Step 2: Convert to fraction form
    6,481.83/9,716.43 = 3,517.60/x
  3. Step 3: Cross multiply
    6,481.83x = 9,716.43 × 3,517.60
  4. Step 4: Simplify right side
    6,481.83x = 34,178,448.00
  5. Step 5: Solve for x
    x = 34,178,448.00/6,481.83
  6. Step 6: Final answer
    x = 5,272.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.