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Finding the Fourth Proportional to 6,824.38, 9,417.54 and 3,840.21

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Solution

The fourth proportional to 6,824.38, 9,417.54 and 3,840.21 is: 5,299.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,824.38 : 9,417.54 = 3,840.21 : x
  2. Step 2: Convert to fraction form
    6,824.38/9,417.54 = 3,840.21/x
  3. Step 3: Cross multiply
    6,824.38x = 9,417.54 × 3,840.21
  4. Step 4: Simplify right side
    6,824.38x = 36,165,331.28
  5. Step 5: Solve for x
    x = 36,165,331.28/6,824.38
  6. Step 6: Final answer
    x = 5,299.43

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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.