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Finding the Fourth Proportional to 6,562.67, 9,843.09 and 1,883.08

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Solution

The fourth proportional to 6,562.67, 9,843.09 and 1,883.08 is: 2,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,562.67 : 9,843.09 = 1,883.08 : x
  2. Step 2: Convert to fraction form
    6,562.67/9,843.09 = 1,883.08/x
  3. Step 3: Cross multiply
    6,562.67x = 9,843.09 × 1,883.08
  4. Step 4: Simplify right side
    6,562.67x = 18,535,325.92
  5. Step 5: Solve for x
    x = 18,535,325.92/6,562.67
  6. Step 6: Final answer
    x = 2,824.36

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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.