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Finding the Fourth Proportional to 9,116.82, 13,675.22 and 2,960.82

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Solution

The fourth proportional to 9,116.82, 13,675.22 and 2,960.82 is: 4,441.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,116.82 : 13,675.22 = 2,960.82 : x
  2. Step 2: Convert to fraction form
    9,116.82/13,675.22 = 2,960.82/x
  3. Step 3: Cross multiply
    9,116.82x = 13,675.22 × 2,960.82
  4. Step 4: Simplify right side
    9,116.82x = 40,489,850.08
  5. Step 5: Solve for x
    x = 40,489,850.08/9,116.82
  6. Step 6: Final answer
    x = 4,441.23

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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.