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Finding the Fourth Proportional to 6,099.49, 9,136.48 and 3,897.03

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Solution

The fourth proportional to 6,099.49, 9,136.48 and 3,897.03 is: 5,837.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,099.49 : 9,136.48 = 3,897.03 : x
  2. Step 2: Convert to fraction form
    6,099.49/9,136.48 = 3,897.03/x
  3. Step 3: Cross multiply
    6,099.49x = 9,136.48 × 3,897.03
  4. Step 4: Simplify right side
    6,099.49x = 35,605,136.65
  5. Step 5: Solve for x
    x = 35,605,136.65/6,099.49
  6. Step 6: Final answer
    x = 5,837.40

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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.