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Finding the Fourth Proportional to 6,090.78, 9,136.17 and 2,195.09

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Solution

The fourth proportional to 6,090.78, 9,136.17 and 2,195.09 is: 3,292.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.78 : 9,136.17 = 2,195.09 : x
  2. Step 2: Convert to fraction form
    6,090.78/9,136.17 = 2,195.09/x
  3. Step 3: Cross multiply
    6,090.78x = 9,136.17 × 2,195.09
  4. Step 4: Simplify right side
    6,090.78x = 20,054,715.41
  5. Step 5: Solve for x
    x = 20,054,715.41/6,090.78
  6. Step 6: Final answer
    x = 3,292.64

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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.