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Finding the Fourth Proportional to 6,286.44, 8,673.70 and 4,189.16

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Solution

The fourth proportional to 6,286.44, 8,673.70 and 4,189.16 is: 5,779.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,286.44 : 8,673.70 = 4,189.16 : x
  2. Step 2: Convert to fraction form
    6,286.44/8,673.70 = 4,189.16/x
  3. Step 3: Cross multiply
    6,286.44x = 8,673.70 × 4,189.16
  4. Step 4: Simplify right side
    6,286.44x = 36,335,517.09
  5. Step 5: Solve for x
    x = 36,335,517.09/6,286.44
  6. Step 6: Final answer
    x = 5,779.98

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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.