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Finding the Fourth Proportional to 6,884.13, 9,500.22 and 3,740.32

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Solution

The fourth proportional to 6,884.13, 9,500.22 and 3,740.32 is: 5,161.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.13 : 9,500.22 = 3,740.32 : x
  2. Step 2: Convert to fraction form
    6,884.13/9,500.22 = 3,740.32/x
  3. Step 3: Cross multiply
    6,884.13x = 9,500.22 × 3,740.32
  4. Step 4: Simplify right side
    6,884.13x = 35,533,874.75
  5. Step 5: Solve for x
    x = 35,533,874.75/6,884.13
  6. Step 6: Final answer
    x = 5,161.71

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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.