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Finding the Fourth Proportional to 6,884.19, 9,500.19 and 3,740.38

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Solution

The fourth proportional to 6,884.19, 9,500.19 and 3,740.38 is: 5,161.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,884.19 : 9,500.19 = 3,740.38 : x
  2. Step 2: Convert to fraction form
    6,884.19/9,500.19 = 3,740.38/x
  3. Step 3: Cross multiply
    6,884.19x = 9,500.19 × 3,740.38
  4. Step 4: Simplify right side
    6,884.19x = 35,534,320.67
  5. Step 5: Solve for x
    x = 35,534,320.67/6,884.19
  6. Step 6: Final answer
    x = 5,161.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.