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Finding the Fourth Proportional to 6,314.20, 8,713.64 and 3,663.19

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Solution

The fourth proportional to 6,314.20, 8,713.64 and 3,663.19 is: 5,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.20 : 8,713.64 = 3,663.19 : x
  2. Step 2: Convert to fraction form
    6,314.20/8,713.64 = 3,663.19/x
  3. Step 3: Cross multiply
    6,314.20x = 8,713.64 × 3,663.19
  4. Step 4: Simplify right side
    6,314.20x = 31,919,718.91
  5. Step 5: Solve for x
    x = 31,919,718.91/6,314.20
  6. Step 6: Final answer
    x = 5,055.23

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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.