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Finding the Fourth Proportional to 9,233.80, 13,850.78 and 2,660

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Solution

The fourth proportional to 9,233.80, 13,850.78 and 2,660 is: 3,990.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,233.80 : 13,850.78 = 2,660 : x
  2. Step 2: Convert to fraction form
    9,233.80/13,850.78 = 2,660/x
  3. Step 3: Cross multiply
    9,233.80x = 13,850.78 × 2,660
  4. Step 4: Simplify right side
    9,233.80x = 36,843,074.80
  5. Step 5: Solve for x
    x = 36,843,074.80/9,233.80
  6. Step 6: Final answer
    x = 3,990.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.