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Finding the Fourth Proportional to 6,451.86, 9,673.93 and 2,233.73

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Solution

The fourth proportional to 6,451.86, 9,673.93 and 2,233.73 is: 3,349.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.86 : 9,673.93 = 2,233.73 : x
  2. Step 2: Convert to fraction form
    6,451.86/9,673.93 = 2,233.73/x
  3. Step 3: Cross multiply
    6,451.86x = 9,673.93 × 2,233.73
  4. Step 4: Simplify right side
    6,451.86x = 21,608,947.66
  5. Step 5: Solve for x
    x = 21,608,947.66/6,451.86
  6. Step 6: Final answer
    x = 3,349.26

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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.