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Finding the Fourth Proportional to 9,486.82, 13,091.56 and 5,238.19

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Solution

The fourth proportional to 9,486.82, 13,091.56 and 5,238.19 is: 7,228.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,486.82 : 13,091.56 = 5,238.19 : x
  2. Step 2: Convert to fraction form
    9,486.82/13,091.56 = 5,238.19/x
  3. Step 3: Cross multiply
    9,486.82x = 13,091.56 × 5,238.19
  4. Step 4: Simplify right side
    9,486.82x = 68,576,078.68
  5. Step 5: Solve for x
    x = 68,576,078.68/9,486.82
  6. Step 6: Final answer
    x = 7,228.56

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.