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Finding the Fourth Proportional to 6,842.28, 9,442.36 and 3,698.48

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Solution

The fourth proportional to 6,842.28, 9,442.36 and 3,698.48 is: 5,103.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.28 : 9,442.36 = 3,698.48 : x
  2. Step 2: Convert to fraction form
    6,842.28/9,442.36 = 3,698.48/x
  3. Step 3: Cross multiply
    6,842.28x = 9,442.36 × 3,698.48
  4. Step 4: Simplify right side
    6,842.28x = 34,922,379.61
  5. Step 5: Solve for x
    x = 34,922,379.61/6,842.28
  6. Step 6: Final answer
    x = 5,103.91

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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.