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Finding the Fourth Proportional to 9,271.10, 13,906.53 and 2,251.17

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Solution

The fourth proportional to 9,271.10, 13,906.53 and 2,251.17 is: 3,376.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,271.10 : 13,906.53 = 2,251.17 : x
  2. Step 2: Convert to fraction form
    9,271.10/13,906.53 = 2,251.17/x
  3. Step 3: Cross multiply
    9,271.10x = 13,906.53 × 2,251.17
  4. Step 4: Simplify right side
    9,271.10x = 31,305,954.70
  5. Step 5: Solve for x
    x = 31,305,954.70/9,271.10
  6. Step 6: Final answer
    x = 3,376.72

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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.