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Finding the Fourth Proportional to 6,562.42, 9,843.49 and 2,179.91

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Solution

The fourth proportional to 6,562.42, 9,843.49 and 2,179.91 is: 3,269.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.42 : 9,843.49 = 2,179.91 : x
  2. Step 2: Convert to fraction form
    6,562.42/9,843.49 = 2,179.91/x
  3. Step 3: Cross multiply
    6,562.42x = 9,843.49 × 2,179.91
  4. Step 4: Simplify right side
    6,562.42x = 21,457,911.39
  5. Step 5: Solve for x
    x = 21,457,911.39/6,562.42
  6. Step 6: Final answer
    x = 3,269.82

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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.