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Finding the Fourth Proportional to 9,136.69, 13,705.52 and 2,896.22

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Solution

The fourth proportional to 9,136.69, 13,705.52 and 2,896.22 is: 4,344.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,136.69 : 13,705.52 = 2,896.22 : x
  2. Step 2: Convert to fraction form
    9,136.69/13,705.52 = 2,896.22/x
  3. Step 3: Cross multiply
    9,136.69x = 13,705.52 × 2,896.22
  4. Step 4: Simplify right side
    9,136.69x = 39,694,186.65
  5. Step 5: Solve for x
    x = 39,694,186.65/9,136.69
  6. Step 6: Final answer
    x = 4,344.48

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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.