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Finding the Fourth Proportional to 9,744.24, 14,616.72 and 9,238.80

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Solution

The fourth proportional to 9,744.24, 14,616.72 and 9,238.80 is: 13,858.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,744.24 : 14,616.72 = 9,238.80 : x
  2. Step 2: Convert to fraction form
    9,744.24/14,616.72 = 9,238.80/x
  3. Step 3: Cross multiply
    9,744.24x = 14,616.72 × 9,238.80
  4. Step 4: Simplify right side
    9,744.24x = 135,040,952.74
  5. Step 5: Solve for x
    x = 135,040,952.74/9,744.24
  6. Step 6: Final answer
    x = 13,858.54

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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.