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Finding the Fourth Proportional to 6,841.95, 9,441.87 and 3,698.13

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Solution

The fourth proportional to 6,841.95, 9,441.87 and 3,698.13 is: 5,103.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.95 : 9,441.87 = 3,698.13 : x
  2. Step 2: Convert to fraction form
    6,841.95/9,441.87 = 3,698.13/x
  3. Step 3: Cross multiply
    6,841.95x = 9,441.87 × 3,698.13
  4. Step 4: Simplify right side
    6,841.95x = 34,917,262.70
  5. Step 5: Solve for x
    x = 34,917,262.70/6,841.95
  6. Step 6: Final answer
    x = 5,103.41

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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.