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Finding the Fourth Proportional to 9,024.85, 13,503.99 and 5,469.02

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Solution

The fourth proportional to 9,024.85, 13,503.99 and 5,469.02 is: 8,183.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.85 : 13,503.99 = 5,469.02 : x
  2. Step 2: Convert to fraction form
    9,024.85/13,503.99 = 5,469.02/x
  3. Step 3: Cross multiply
    9,024.85x = 13,503.99 × 5,469.02
  4. Step 4: Simplify right side
    9,024.85x = 73,853,591.39
  5. Step 5: Solve for x
    x = 73,853,591.39/9,024.85
  6. Step 6: Final answer
    x = 8,183.36

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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.