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Finding the Fourth Proportional to 6,314.27, 8,714.47 and 3,626.33

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Solution

The fourth proportional to 6,314.27, 8,714.47 and 3,626.33 is: 5,004.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.27 : 8,714.47 = 3,626.33 : x
  2. Step 2: Convert to fraction form
    6,314.27/8,714.47 = 3,626.33/x
  3. Step 3: Cross multiply
    6,314.27x = 8,714.47 × 3,626.33
  4. Step 4: Simplify right side
    6,314.27x = 31,601,504.96
  5. Step 5: Solve for x
    x = 31,601,504.96/6,314.27
  6. Step 6: Final answer
    x = 5,004.78

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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.