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Finding the Fourth Proportional to 9,136.26, 13,686.12 and 4,199.13

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Solution

The fourth proportional to 9,136.26, 13,686.12 and 4,199.13 is: 6,290.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.26 : 13,686.12 = 4,199.13 : x
  2. Step 2: Convert to fraction form
    9,136.26/13,686.12 = 4,199.13/x
  3. Step 3: Cross multiply
    9,136.26x = 13,686.12 × 4,199.13
  4. Step 4: Simplify right side
    9,136.26x = 57,469,797.08
  5. Step 5: Solve for x
    x = 57,469,797.08/9,136.26
  6. Step 6: Final answer
    x = 6,290.30

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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.