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Finding the Fourth Proportional to 6,193.77, 9,291.62 and 2,032.83

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Solution

The fourth proportional to 6,193.77, 9,291.62 and 2,032.83 is: 3,049.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,193.77 : 9,291.62 = 2,032.83 : x
  2. Step 2: Convert to fraction form
    6,193.77/9,291.62 = 2,032.83/x
  3. Step 3: Cross multiply
    6,193.77x = 9,291.62 × 2,032.83
  4. Step 4: Simplify right side
    6,193.77x = 18,888,238.88
  5. Step 5: Solve for x
    x = 18,888,238.88/6,193.77
  6. Step 6: Final answer
    x = 3,049.56

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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.