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Finding the Fourth Proportional to 6,841.96, 9,441.89 and 3,698.15

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Solution

The fourth proportional to 6,841.96, 9,441.89 and 3,698.15 is: 5,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.96 : 9,441.89 = 3,698.15 : x
  2. Step 2: Convert to fraction form
    6,841.96/9,441.89 = 3,698.15/x
  3. Step 3: Cross multiply
    6,841.96x = 9,441.89 × 3,698.15
  4. Step 4: Simplify right side
    6,841.96x = 34,917,478.29
  5. Step 5: Solve for x
    x = 34,917,478.29/6,841.96
  6. Step 6: Final answer
    x = 5,103.44

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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.