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Finding the Fourth Proportional to 6,841.97, 9,441.93 and 3,698.16

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Solution

The fourth proportional to 6,841.97, 9,441.93 and 3,698.16 is: 5,103.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,841.97 : 9,441.93 = 3,698.16 : x
  2. Step 2: Convert to fraction form
    6,841.97/9,441.93 = 3,698.16/x
  3. Step 3: Cross multiply
    6,841.97x = 9,441.93 × 3,698.16
  4. Step 4: Simplify right side
    6,841.97x = 34,917,799.42
  5. Step 5: Solve for x
    x = 34,917,799.42/6,841.97
  6. Step 6: Final answer
    x = 5,103.47

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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.