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Finding the Fourth Proportional to 9,667.20, 14,400.96 and 9,436.80

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Solution

The fourth proportional to 9,667.20, 14,400.96 and 9,436.80 is: 14,057.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,667.20 : 14,400.96 = 9,436.80 : x
  2. Step 2: Convert to fraction form
    9,667.20/14,400.96 = 9,436.80/x
  3. Step 3: Cross multiply
    9,667.20x = 14,400.96 × 9,436.80
  4. Step 4: Simplify right side
    9,667.20x = 135,898,979.33
  5. Step 5: Solve for x
    x = 135,898,979.33/9,667.20
  6. Step 6: Final answer
    x = 14,057.74

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.