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Finding the Fourth Proportional to 6,136.22, 9,206.63 and 3,672.77

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Solution

The fourth proportional to 6,136.22, 9,206.63 and 3,672.77 is: 5,510.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,136.22 : 9,206.63 = 3,672.77 : x
  2. Step 2: Convert to fraction form
    6,136.22/9,206.63 = 3,672.77/x
  3. Step 3: Cross multiply
    6,136.22x = 9,206.63 × 3,672.77
  4. Step 4: Simplify right side
    6,136.22x = 33,813,834.47
  5. Step 5: Solve for x
    x = 33,813,834.47/6,136.22
  6. Step 6: Final answer
    x = 5,510.53

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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.