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Finding the Fourth Proportional to 9,274.43, 13,912.16 and 2,701.15

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Solution

The fourth proportional to 9,274.43, 13,912.16 and 2,701.15 is: 4,051.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,274.43 : 13,912.16 = 2,701.15 : x
  2. Step 2: Convert to fraction form
    9,274.43/13,912.16 = 2,701.15/x
  3. Step 3: Cross multiply
    9,274.43x = 13,912.16 × 2,701.15
  4. Step 4: Simplify right side
    9,274.43x = 37,578,782.70
  5. Step 5: Solve for x
    x = 37,578,782.70/9,274.43
  6. Step 6: Final answer
    x = 4,051.87

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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.