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Finding the Fourth Proportional to 6,644.52, 9,169.56 and 3,812.22

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Solution

The fourth proportional to 6,644.52, 9,169.56 and 3,812.22 is: 5,260.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,644.52 : 9,169.56 = 3,812.22 : x
  2. Step 2: Convert to fraction form
    6,644.52/9,169.56 = 3,812.22/x
  3. Step 3: Cross multiply
    6,644.52x = 9,169.56 × 3,812.22
  4. Step 4: Simplify right side
    6,644.52x = 34,956,380.02
  5. Step 5: Solve for x
    x = 34,956,380.02/6,644.52
  6. Step 6: Final answer
    x = 5,260.93

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.