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Finding the Fourth Proportional to 9,238.69, 13,856.37 and 2,663.26

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Solution

The fourth proportional to 9,238.69, 13,856.37 and 2,663.26 is: 3,994.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.69 : 13,856.37 = 2,663.26 : x
  2. Step 2: Convert to fraction form
    9,238.69/13,856.37 = 2,663.26/x
  3. Step 3: Cross multiply
    9,238.69x = 13,856.37 × 2,663.26
  4. Step 4: Simplify right side
    9,238.69x = 36,903,115.97
  5. Step 5: Solve for x
    x = 36,903,115.97/9,238.69
  6. Step 6: Final answer
    x = 3,994.41

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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.