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Finding the Fourth Proportional to 6,982.41, 9,635.47 and 3,838.57

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Solution

The fourth proportional to 6,982.41, 9,635.47 and 3,838.57 is: 5,297.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,982.41 : 9,635.47 = 3,838.57 : x
  2. Step 2: Convert to fraction form
    6,982.41/9,635.47 = 3,838.57/x
  3. Step 3: Cross multiply
    6,982.41x = 9,635.47 × 3,838.57
  4. Step 4: Simplify right side
    6,982.41x = 36,986,426.08
  5. Step 5: Solve for x
    x = 36,986,426.08/6,982.41
  6. Step 6: Final answer
    x = 5,297.09

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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.