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Finding the Fourth Proportional to 6,884.75, 9,500.76 and 3,900.85

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Solution

The fourth proportional to 6,884.75, 9,500.76 and 3,900.85 is: 5,383.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.75 : 9,500.76 = 3,900.85 : x
  2. Step 2: Convert to fraction form
    6,884.75/9,500.76 = 3,900.85/x
  3. Step 3: Cross multiply
    6,884.75x = 9,500.76 × 3,900.85
  4. Step 4: Simplify right side
    6,884.75x = 37,061,015.89
  5. Step 5: Solve for x
    x = 37,061,015.89/6,884.75
  6. Step 6: Final answer
    x = 5,383.06

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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.