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Finding the Fourth Proportional to 6,842.27, 9,442.31 and 3,698.46

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Solution

The fourth proportional to 6,842.27, 9,442.31 and 3,698.46 is: 5,103.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.27 : 9,442.31 = 3,698.46 : x
  2. Step 2: Convert to fraction form
    6,842.27/9,442.31 = 3,698.46/x
  3. Step 3: Cross multiply
    6,842.27x = 9,442.31 × 3,698.46
  4. Step 4: Simplify right side
    6,842.27x = 34,921,987.35
  5. Step 5: Solve for x
    x = 34,921,987.35/6,842.27
  6. Step 6: Final answer
    x = 5,103.86

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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.