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Finding the Fourth Proportional to 9,238.14, 13,853.07 and 2,662.79

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Solution

The fourth proportional to 9,238.14, 13,853.07 and 2,662.79 is: 3,992.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.14 : 13,853.07 = 2,662.79 : x
  2. Step 2: Convert to fraction form
    9,238.14/13,853.07 = 2,662.79/x
  3. Step 3: Cross multiply
    9,238.14x = 13,853.07 × 2,662.79
  4. Step 4: Simplify right side
    9,238.14x = 36,887,747.00
  5. Step 5: Solve for x
    x = 36,887,747.00/9,238.14
  6. Step 6: Final answer
    x = 3,992.98

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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.