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Finding the Fourth Proportional to 7,136.88, 9,846.49 and 4,150.26

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Solution

The fourth proportional to 7,136.88, 9,846.49 and 4,150.26 is: 5,725.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,136.88 : 9,846.49 = 4,150.26 : x
  2. Step 2: Convert to fraction form
    7,136.88/9,846.49 = 4,150.26/x
  3. Step 3: Cross multiply
    7,136.88x = 9,846.49 × 4,150.26
  4. Step 4: Simplify right side
    7,136.88x = 40,865,493.59
  5. Step 5: Solve for x
    x = 40,865,493.59/7,136.88
  6. Step 6: Final answer
    x = 5,725.96

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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.