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Finding the Fourth Proportional to 6,451.89, 9,683.78 and 3,991.52

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Solution

The fourth proportional to 6,451.89, 9,683.78 and 3,991.52 is: 5,990.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.89 : 9,683.78 = 3,991.52 : x
  2. Step 2: Convert to fraction form
    6,451.89/9,683.78 = 3,991.52/x
  3. Step 3: Cross multiply
    6,451.89x = 9,683.78 × 3,991.52
  4. Step 4: Simplify right side
    6,451.89x = 38,652,933.17
  5. Step 5: Solve for x
    x = 38,652,933.17/6,451.89
  6. Step 6: Final answer
    x = 5,990.95

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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.