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Finding the Fourth Proportional to 6,343.93, 9,515.95 and 2,834.11

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Solution

The fourth proportional to 6,343.93, 9,515.95 and 2,834.11 is: 4,251.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.93 : 9,515.95 = 2,834.11 : x
  2. Step 2: Convert to fraction form
    6,343.93/9,515.95 = 2,834.11/x
  3. Step 3: Cross multiply
    6,343.93x = 9,515.95 × 2,834.11
  4. Step 4: Simplify right side
    6,343.93x = 26,969,249.05
  5. Step 5: Solve for x
    x = 26,969,249.05/6,343.93
  6. Step 6: Final answer
    x = 4,251.19

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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.