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Finding the Fourth Proportional to 6,552.42, 9,822.24 and 3,624.60

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Solution

The fourth proportional to 6,552.42, 9,822.24 and 3,624.60 is: 5,433.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.42 : 9,822.24 = 3,624.60 : x
  2. Step 2: Convert to fraction form
    6,552.42/9,822.24 = 3,624.60/x
  3. Step 3: Cross multiply
    6,552.42x = 9,822.24 × 3,624.60
  4. Step 4: Simplify right side
    6,552.42x = 35,601,691.10
  5. Step 5: Solve for x
    x = 35,601,691.10/6,552.42
  6. Step 6: Final answer
    x = 5,433.37

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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.