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Finding the Fourth Proportional to 6,884.85, 9,500.61 and 3,740.97

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Solution

The fourth proportional to 6,884.85, 9,500.61 and 3,740.97 is: 5,162.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.85 : 9,500.61 = 3,740.97 : x
  2. Step 2: Convert to fraction form
    6,884.85/9,500.61 = 3,740.97/x
  3. Step 3: Cross multiply
    6,884.85x = 9,500.61 × 3,740.97
  4. Step 4: Simplify right side
    6,884.85x = 35,541,496.99
  5. Step 5: Solve for x
    x = 35,541,496.99/6,884.85
  6. Step 6: Final answer
    x = 5,162.28

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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.