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Finding the Fourth Proportional to 6,314.31, 8,717.49 and 5,613.75

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Solution

The fourth proportional to 6,314.31, 8,717.49 and 5,613.75 is: 7,750.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,314.31 : 8,717.49 = 5,613.75 : x
  2. Step 2: Convert to fraction form
    6,314.31/8,717.49 = 5,613.75/x
  3. Step 3: Cross multiply
    6,314.31x = 8,717.49 × 5,613.75
  4. Step 4: Simplify right side
    6,314.31x = 48,937,788.44
  5. Step 5: Solve for x
    x = 48,937,788.44/6,314.31
  6. Step 6: Final answer
    x = 7,750.29

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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.