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Finding the Fourth Proportional to 9,274.69, 13,912.89 and 2,611.28

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Solution

The fourth proportional to 9,274.69, 13,912.89 and 2,611.28 is: 3,917.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.69 : 13,912.89 = 2,611.28 : x
  2. Step 2: Convert to fraction form
    9,274.69/13,912.89 = 2,611.28/x
  3. Step 3: Cross multiply
    9,274.69x = 13,912.89 × 2,611.28
  4. Step 4: Simplify right side
    9,274.69x = 36,330,476.39
  5. Step 5: Solve for x
    x = 36,330,476.39/9,274.69
  6. Step 6: Final answer
    x = 3,917.16

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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.