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Finding the Fourth Proportional to 6,314.33, 8,713.83 and 3,481.81

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Solution

The fourth proportional to 6,314.33, 8,713.83 and 3,481.81 is: 4,804.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.33 : 8,713.83 = 3,481.81 : x
  2. Step 2: Convert to fraction form
    6,314.33/8,713.83 = 3,481.81/x
  3. Step 3: Cross multiply
    6,314.33x = 8,713.83 × 3,481.81
  4. Step 4: Simplify right side
    6,314.33x = 30,339,930.92
  5. Step 5: Solve for x
    x = 30,339,930.92/6,314.33
  6. Step 6: Final answer
    x = 4,804.93

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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.