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Finding the Fourth Proportional to 6,861.42, 9,469.16 and 3,877.72

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Solution

The fourth proportional to 6,861.42, 9,469.16 and 3,877.72 is: 5,351.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.42 : 9,469.16 = 3,877.72 : x
  2. Step 2: Convert to fraction form
    6,861.42/9,469.16 = 3,877.72/x
  3. Step 3: Cross multiply
    6,861.42x = 9,469.16 × 3,877.72
  4. Step 4: Simplify right side
    6,861.42x = 36,718,751.12
  5. Step 5: Solve for x
    x = 36,718,751.12/6,861.42
  6. Step 6: Final answer
    x = 5,351.48

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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.