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Finding the Fourth Proportional to 9,736.18, 13,427.65 and 8,231.08

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Solution

The fourth proportional to 9,736.18, 13,427.65 and 8,231.08 is: 11,351.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,736.18 : 13,427.65 = 8,231.08 : x
  2. Step 2: Convert to fraction form
    9,736.18/13,427.65 = 8,231.08/x
  3. Step 3: Cross multiply
    9,736.18x = 13,427.65 × 8,231.08
  4. Step 4: Simplify right side
    9,736.18x = 110,524,061.36
  5. Step 5: Solve for x
    x = 110,524,061.36/9,736.18
  6. Step 6: Final answer
    x = 11,351.89

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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.