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Finding the Fourth Proportional to 6,867.39, 9,476.46 and 3,842.49

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Solution

The fourth proportional to 6,867.39, 9,476.46 and 3,842.49 is: 5,302.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,867.39 : 9,476.46 = 3,842.49 : x
  2. Step 2: Convert to fraction form
    6,867.39/9,476.46 = 3,842.49/x
  3. Step 3: Cross multiply
    6,867.39x = 9,476.46 × 3,842.49
  4. Step 4: Simplify right side
    6,867.39x = 36,413,202.79
  5. Step 5: Solve for x
    x = 36,413,202.79/6,867.39
  6. Step 6: Final answer
    x = 5,302.34

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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.