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Finding the Fourth Proportional to 6,735.39, 9,299.82 and 4,086.37

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Solution

The fourth proportional to 6,735.39, 9,299.82 and 4,086.37 is: 5,642.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.39 : 9,299.82 = 4,086.37 : x
  2. Step 2: Convert to fraction form
    6,735.39/9,299.82 = 4,086.37/x
  3. Step 3: Cross multiply
    6,735.39x = 9,299.82 × 4,086.37
  4. Step 4: Simplify right side
    6,735.39x = 38,002,505.45
  5. Step 5: Solve for x
    x = 38,002,505.45/6,735.39
  6. Step 6: Final answer
    x = 5,642.21

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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.