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Finding the Fourth Proportional to 6,861.80, 9,469.46 and 4,207.64

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Solution

The fourth proportional to 6,861.80, 9,469.46 and 4,207.64 is: 5,806.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,861.80 : 9,469.46 = 4,207.64 : x
  2. Step 2: Convert to fraction form
    6,861.80/9,469.46 = 4,207.64/x
  3. Step 3: Cross multiply
    6,861.80x = 9,469.46 × 4,207.64
  4. Step 4: Simplify right side
    6,861.80x = 39,844,010.29
  5. Step 5: Solve for x
    x = 39,844,010.29/6,861.80
  6. Step 6: Final answer
    x = 5,806.65

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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.