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Finding the Fourth Proportional to 6,826.73, 9,420.48 and 3,842.43

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Solution

The fourth proportional to 6,826.73, 9,420.48 and 3,842.43 is: 5,302.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.73 : 9,420.48 = 3,842.43 : x
  2. Step 2: Convert to fraction form
    6,826.73/9,420.48 = 3,842.43/x
  3. Step 3: Cross multiply
    6,826.73x = 9,420.48 × 3,842.43
  4. Step 4: Simplify right side
    6,826.73x = 36,197,534.97
  5. Step 5: Solve for x
    x = 36,197,534.97/6,826.73
  6. Step 6: Final answer
    x = 5,302.33

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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.