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Finding the Fourth Proportional to 9,517.43, 14,274.90 and 3,969.74

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Solution

The fourth proportional to 9,517.43, 14,274.90 and 3,969.74 is: 5,954.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,517.43 : 14,274.90 = 3,969.74 : x
  2. Step 2: Convert to fraction form
    9,517.43/14,274.90 = 3,969.74/x
  3. Step 3: Cross multiply
    9,517.43x = 14,274.90 × 3,969.74
  4. Step 4: Simplify right side
    9,517.43x = 56,667,677.21
  5. Step 5: Solve for x
    x = 56,667,677.21/9,517.43
  6. Step 6: Final answer
    x = 5,954.09

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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.