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Finding the Fourth Proportional to 9,238.32, 13,853.36 and 2,662.94

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Solution

The fourth proportional to 9,238.32, 13,853.36 and 2,662.94 is: 3,993.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.32 : 13,853.36 = 2,662.94 : x
  2. Step 2: Convert to fraction form
    9,238.32/13,853.36 = 2,662.94/x
  3. Step 3: Cross multiply
    9,238.32x = 13,853.36 × 2,662.94
  4. Step 4: Simplify right side
    9,238.32x = 36,890,707.77
  5. Step 5: Solve for x
    x = 36,890,707.77/9,238.32
  6. Step 6: Final answer
    x = 3,993.23

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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.