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Finding the Fourth Proportional to 6,344.13, 9,516.22 and 1,727.13

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Solution

The fourth proportional to 6,344.13, 9,516.22 and 1,727.13 is: 2,590.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.13 : 9,516.22 = 1,727.13 : x
  2. Step 2: Convert to fraction form
    6,344.13/9,516.22 = 1,727.13/x
  3. Step 3: Cross multiply
    6,344.13x = 9,516.22 × 1,727.13
  4. Step 4: Simplify right side
    6,344.13x = 16,435,749.05
  5. Step 5: Solve for x
    x = 16,435,749.05/6,344.13
  6. Step 6: Final answer
    x = 2,590.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.