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Finding the Fourth Proportional to 9,481.82, 14,222.74 and 2,907.14

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Solution

The fourth proportional to 9,481.82, 14,222.74 and 2,907.14 is: 4,360.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.82 : 14,222.74 = 2,907.14 : x
  2. Step 2: Convert to fraction form
    9,481.82/14,222.74 = 2,907.14/x
  3. Step 3: Cross multiply
    9,481.82x = 14,222.74 × 2,907.14
  4. Step 4: Simplify right side
    9,481.82x = 41,347,496.36
  5. Step 5: Solve for x
    x = 41,347,496.36/9,481.82
  6. Step 6: Final answer
    x = 4,360.71

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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.