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Finding the Fourth Proportional to 9,481.78, 14,222.61 and 3,238.78

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Solution

The fourth proportional to 9,481.78, 14,222.61 and 3,238.78 is: 4,858.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.78 : 14,222.61 = 3,238.78 : x
  2. Step 2: Convert to fraction form
    9,481.78/14,222.61 = 3,238.78/x
  3. Step 3: Cross multiply
    9,481.78x = 14,222.61 × 3,238.78
  4. Step 4: Simplify right side
    9,481.78x = 46,063,904.82
  5. Step 5: Solve for x
    x = 46,063,904.82/9,481.78
  6. Step 6: Final answer
    x = 4,858.15

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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.