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Finding the Fourth Proportional to 9,185.08, 13,768.08 and 5,227.82

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Solution

The fourth proportional to 9,185.08, 13,768.08 and 5,227.82 is: 7,836.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,185.08 : 13,768.08 = 5,227.82 : x
  2. Step 2: Convert to fraction form
    9,185.08/13,768.08 = 5,227.82/x
  3. Step 3: Cross multiply
    9,185.08x = 13,768.08 × 5,227.82
  4. Step 4: Simplify right side
    9,185.08x = 71,977,043.99
  5. Step 5: Solve for x
    x = 71,977,043.99/9,185.08
  6. Step 6: Final answer
    x = 7,836.30

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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.