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Finding the Fourth Proportional to 9,122.44, 13,680.78 and 2,965

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Solution

The fourth proportional to 9,122.44, 13,680.78 and 2,965 is: 4,446.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,122.44 : 13,680.78 = 2,965 : x
  2. Step 2: Convert to fraction form
    9,122.44/13,680.78 = 2,965/x
  3. Step 3: Cross multiply
    9,122.44x = 13,680.78 × 2,965
  4. Step 4: Simplify right side
    9,122.44x = 40,563,512.70
  5. Step 5: Solve for x
    x = 40,563,512.70/9,122.44
  6. Step 6: Final answer
    x = 4,446.56

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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.