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Finding the Fourth Proportional to 9,667.27, 14,501.22 and 3,426.43

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Solution

The fourth proportional to 9,667.27, 14,501.22 and 3,426.43 is: 5,139.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.27 : 14,501.22 = 3,426.43 : x
  2. Step 2: Convert to fraction form
    9,667.27/14,501.22 = 3,426.43/x
  3. Step 3: Cross multiply
    9,667.27x = 14,501.22 × 3,426.43
  4. Step 4: Simplify right side
    9,667.27x = 49,687,415.24
  5. Step 5: Solve for x
    x = 49,687,415.24/9,667.27
  6. Step 6: Final answer
    x = 5,139.76

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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.