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Finding the Fourth Proportional to 6,552.24, 9,822.18 and 3,262.22

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Solution

The fourth proportional to 6,552.24, 9,822.18 and 3,262.22 is: 4,890.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,552.24 : 9,822.18 = 3,262.22 : x
  2. Step 2: Convert to fraction form
    6,552.24/9,822.18 = 3,262.22/x
  3. Step 3: Cross multiply
    6,552.24x = 9,822.18 × 3,262.22
  4. Step 4: Simplify right side
    6,552.24x = 32,042,112.04
  5. Step 5: Solve for x
    x = 32,042,112.04/6,552.24
  6. Step 6: Final answer
    x = 4,890.25

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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.