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Finding the Fourth Proportional to 6,150.80, 9,213.19 and 4,071.80

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Solution

The fourth proportional to 6,150.80, 9,213.19 and 4,071.80 is: 6,099.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,150.80 : 9,213.19 = 4,071.80 : x
  2. Step 2: Convert to fraction form
    6,150.80/9,213.19 = 4,071.80/x
  3. Step 3: Cross multiply
    6,150.80x = 9,213.19 × 4,071.80
  4. Step 4: Simplify right side
    6,150.80x = 37,514,267.04
  5. Step 5: Solve for x
    x = 37,514,267.04/6,150.80
  6. Step 6: Final answer
    x = 6,099.09

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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.