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Finding the Fourth Proportional to 9,234.21, 13,833.79 and 5,478.05

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Solution

The fourth proportional to 9,234.21, 13,833.79 and 5,478.05 is: 8,206.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,234.21 : 13,833.79 = 5,478.05 : x
  2. Step 2: Convert to fraction form
    9,234.21/13,833.79 = 5,478.05/x
  3. Step 3: Cross multiply
    9,234.21x = 13,833.79 × 5,478.05
  4. Step 4: Simplify right side
    9,234.21x = 75,782,163.91
  5. Step 5: Solve for x
    x = 75,782,163.91/9,234.21
  6. Step 6: Final answer
    x = 8,206.68

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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.