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Finding the Fourth Proportional to 6,090.80, 9,136.20 and 2,194.43

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Solution

The fourth proportional to 6,090.80, 9,136.20 and 2,194.43 is: 3,291.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,090.80 : 9,136.20 = 2,194.43 : x
  2. Step 2: Convert to fraction form
    6,090.80/9,136.20 = 2,194.43/x
  3. Step 3: Cross multiply
    6,090.80x = 9,136.20 × 2,194.43
  4. Step 4: Simplify right side
    6,090.80x = 20,048,751.37
  5. Step 5: Solve for x
    x = 20,048,751.37/6,090.80
  6. Step 6: Final answer
    x = 3,291.65

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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.