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Finding the Fourth Proportional to 6,873.26, 9,484.85 and 3,729.38

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Solution

The fourth proportional to 6,873.26, 9,484.85 and 3,729.38 is: 5,146.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,873.26 : 9,484.85 = 3,729.38 : x
  2. Step 2: Convert to fraction form
    6,873.26/9,484.85 = 3,729.38/x
  3. Step 3: Cross multiply
    6,873.26x = 9,484.85 × 3,729.38
  4. Step 4: Simplify right side
    6,873.26x = 35,372,591.25
  5. Step 5: Solve for x
    x = 35,372,591.25/6,873.26
  6. Step 6: Final answer
    x = 5,146.41

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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.