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Finding the Fourth Proportional to 6,136.94, 9,208.14 and 2,240.43

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Solution

The fourth proportional to 6,136.94, 9,208.14 and 2,240.43 is: 3,361.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.94 : 9,208.14 = 2,240.43 : x
  2. Step 2: Convert to fraction form
    6,136.94/9,208.14 = 2,240.43/x
  3. Step 3: Cross multiply
    6,136.94x = 9,208.14 × 2,240.43
  4. Step 4: Simplify right side
    6,136.94x = 20,630,181.90
  5. Step 5: Solve for x
    x = 20,630,181.90/6,136.94
  6. Step 6: Final answer
    x = 3,361.64

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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.