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Finding the Fourth Proportional to 6,133.41, 9,199.92 and 3,651.62

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Solution

The fourth proportional to 6,133.41, 9,199.92 and 3,651.62 is: 5,477.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.41 : 9,199.92 = 3,651.62 : x
  2. Step 2: Convert to fraction form
    6,133.41/9,199.92 = 3,651.62/x
  3. Step 3: Cross multiply
    6,133.41x = 9,199.92 × 3,651.62
  4. Step 4: Simplify right side
    6,133.41x = 33,594,611.87
  5. Step 5: Solve for x
    x = 33,594,611.87/6,133.41
  6. Step 6: Final answer
    x = 5,477.31

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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.