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Finding the Fourth Proportional to 6,834.55, 9,431.07 and 3,850.12

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Solution

The fourth proportional to 6,834.55, 9,431.07 and 3,850.12 is: 5,312.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,834.55 : 9,431.07 = 3,850.12 : x
  2. Step 2: Convert to fraction form
    6,834.55/9,431.07 = 3,850.12/x
  3. Step 3: Cross multiply
    6,834.55x = 9,431.07 × 3,850.12
  4. Step 4: Simplify right side
    6,834.55x = 36,310,751.23
  5. Step 5: Solve for x
    x = 36,310,751.23/6,834.55
  6. Step 6: Final answer
    x = 5,312.82

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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.