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Finding the Fourth Proportional to 9,223.50, 13,832.17 and 2,981.83

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Solution

The fourth proportional to 9,223.50, 13,832.17 and 2,981.83 is: 4,471.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,223.50 : 13,832.17 = 2,981.83 : x
  2. Step 2: Convert to fraction form
    9,223.50/13,832.17 = 2,981.83/x
  3. Step 3: Cross multiply
    9,223.50x = 13,832.17 × 2,981.83
  4. Step 4: Simplify right side
    9,223.50x = 41,245,164.56
  5. Step 5: Solve for x
    x = 41,245,164.56/9,223.50
  6. Step 6: Final answer
    x = 4,471.75

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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.