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Finding the Fourth Proportional to 6,120.54, 9,183.24 and 3,522.06

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Solution

The fourth proportional to 6,120.54, 9,183.24 and 3,522.06 is: 5,284.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,120.54 : 9,183.24 = 3,522.06 : x
  2. Step 2: Convert to fraction form
    6,120.54/9,183.24 = 3,522.06/x
  3. Step 3: Cross multiply
    6,120.54x = 9,183.24 × 3,522.06
  4. Step 4: Simplify right side
    6,120.54x = 32,343,922.27
  5. Step 5: Solve for x
    x = 32,343,922.27/6,120.54
  6. Step 6: Final answer
    x = 5,284.49

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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.