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Finding the Fourth Proportional to 9,311.97, 13,968.08 and 2,738.30

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Solution

The fourth proportional to 9,311.97, 13,968.08 and 2,738.30 is: 4,107.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,311.97 : 13,968.08 = 2,738.30 : x
  2. Step 2: Convert to fraction form
    9,311.97/13,968.08 = 2,738.30/x
  3. Step 3: Cross multiply
    9,311.97x = 13,968.08 × 2,738.30
  4. Step 4: Simplify right side
    9,311.97x = 38,248,709.93
  5. Step 5: Solve for x
    x = 38,248,709.93/9,311.97
  6. Step 6: Final answer
    x = 4,107.48

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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.