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Finding the Fourth Proportional to 6,826.54, 9,418.74 and 3,842.20

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Solution

The fourth proportional to 6,826.54, 9,418.74 and 3,842.20 is: 5,301.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,826.54 : 9,418.74 = 3,842.20 : x
  2. Step 2: Convert to fraction form
    6,826.54/9,418.74 = 3,842.20/x
  3. Step 3: Cross multiply
    6,826.54x = 9,418.74 × 3,842.20
  4. Step 4: Simplify right side
    6,826.54x = 36,188,682.83
  5. Step 5: Solve for x
    x = 36,188,682.83/6,826.54
  6. Step 6: Final answer
    x = 5,301.17

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.