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Finding the Fourth Proportional to 6,834.54, 9,429.78 and 3,850.20

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Solution

The fourth proportional to 6,834.54, 9,429.78 and 3,850.20 is: 5,312.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.54 : 9,429.78 = 3,850.20 : x
  2. Step 2: Convert to fraction form
    6,834.54/9,429.78 = 3,850.20/x
  3. Step 3: Cross multiply
    6,834.54x = 9,429.78 × 3,850.20
  4. Step 4: Simplify right side
    6,834.54x = 36,306,538.96
  5. Step 5: Solve for x
    x = 36,306,538.96/6,834.54
  6. Step 6: Final answer
    x = 5,312.21

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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.