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Finding the Fourth Proportional to 6,136.62, 8,465.04 and 3,777.09

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Solution

The fourth proportional to 6,136.62, 8,465.04 and 3,777.09 is: 5,210.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.62 : 8,465.04 = 3,777.09 : x
  2. Step 2: Convert to fraction form
    6,136.62/8,465.04 = 3,777.09/x
  3. Step 3: Cross multiply
    6,136.62x = 8,465.04 × 3,777.09
  4. Step 4: Simplify right side
    6,136.62x = 31,973,217.93
  5. Step 5: Solve for x
    x = 31,973,217.93/6,136.62
  6. Step 6: Final answer
    x = 5,210.23

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.