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Finding the Fourth Proportional to 6,847.41, 9,449.85 and 3,862.14

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Solution

The fourth proportional to 6,847.41, 9,449.85 and 3,862.14 is: 5,329.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,847.41 : 9,449.85 = 3,862.14 : x
  2. Step 2: Convert to fraction form
    6,847.41/9,449.85 = 3,862.14/x
  3. Step 3: Cross multiply
    6,847.41x = 9,449.85 × 3,862.14
  4. Step 4: Simplify right side
    6,847.41x = 36,496,643.68
  5. Step 5: Solve for x
    x = 36,496,643.68/6,847.41
  6. Step 6: Final answer
    x = 5,329.99

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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.