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Finding the Fourth Proportional to 6,823.49, 9,416.97 and 3,839.15

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Solution

The fourth proportional to 6,823.49, 9,416.97 and 3,839.15 is: 5,298.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,823.49 : 9,416.97 = 3,839.15 : x
  2. Step 2: Convert to fraction form
    6,823.49/9,416.97 = 3,839.15/x
  3. Step 3: Cross multiply
    6,823.49x = 9,416.97 × 3,839.15
  4. Step 4: Simplify right side
    6,823.49x = 36,153,160.38
  5. Step 5: Solve for x
    x = 36,153,160.38/6,823.49
  6. Step 6: Final answer
    x = 5,298.34

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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.