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Finding the Fourth Proportional to 6,418.94, 9,629.99 and 3,788.62

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Solution

The fourth proportional to 6,418.94, 9,629.99 and 3,788.62 is: 5,683.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.94 : 9,629.99 = 3,788.62 : x
  2. Step 2: Convert to fraction form
    6,418.94/9,629.99 = 3,788.62/x
  3. Step 3: Cross multiply
    6,418.94x = 9,629.99 × 3,788.62
  4. Step 4: Simplify right side
    6,418.94x = 36,484,372.71
  5. Step 5: Solve for x
    x = 36,484,372.71/6,418.94
  6. Step 6: Final answer
    x = 5,683.86

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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.