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Finding the Fourth Proportional to 9,481.65, 14,224.29 and 2,906.67

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Solution

The fourth proportional to 9,481.65, 14,224.29 and 2,906.67 is: 4,360.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,481.65 : 14,224.29 = 2,906.67 : x
  2. Step 2: Convert to fraction form
    9,481.65/14,224.29 = 2,906.67/x
  3. Step 3: Cross multiply
    9,481.65x = 14,224.29 × 2,906.67
  4. Step 4: Simplify right side
    9,481.65x = 41,345,317.01
  5. Step 5: Solve for x
    x = 41,345,317.01/9,481.65
  6. Step 6: Final answer
    x = 4,360.56

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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.