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Finding the Fourth Proportional to 6,834.80, 9,432.92 and 3,851.22

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Solution

The fourth proportional to 6,834.80, 9,432.92 and 3,851.22 is: 5,315.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.80 : 9,432.92 = 3,851.22 : x
  2. Step 2: Convert to fraction form
    6,834.80/9,432.92 = 3,851.22/x
  3. Step 3: Cross multiply
    6,834.80x = 9,432.92 × 3,851.22
  4. Step 4: Simplify right side
    6,834.80x = 36,328,250.16
  5. Step 5: Solve for x
    x = 36,328,250.16/6,834.80
  6. Step 6: Final answer
    x = 5,315.19

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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.