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Finding the Fourth Proportional to 6,842.08, 9,442.09 and 3,698.27

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Solution

The fourth proportional to 6,842.08, 9,442.09 and 3,698.27 is: 5,103.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.08 : 9,442.09 = 3,698.27 : x
  2. Step 2: Convert to fraction form
    6,842.08/9,442.09 = 3,698.27/x
  3. Step 3: Cross multiply
    6,842.08x = 9,442.09 × 3,698.27
  4. Step 4: Simplify right side
    6,842.08x = 34,919,391.28
  5. Step 5: Solve for x
    x = 34,919,391.28/6,842.08
  6. Step 6: Final answer
    x = 5,103.62

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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.