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Finding the Fourth Proportional to 6,034.12, 9,049.02 and 5,200.36

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Solution

The fourth proportional to 6,034.12, 9,049.02 and 5,200.36 is: 7,798.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.12 : 9,049.02 = 5,200.36 : x
  2. Step 2: Convert to fraction form
    6,034.12/9,049.02 = 5,200.36/x
  3. Step 3: Cross multiply
    6,034.12x = 9,049.02 × 5,200.36
  4. Step 4: Simplify right side
    6,034.12x = 47,058,161.65
  5. Step 5: Solve for x
    x = 47,058,161.65/6,034.12
  6. Step 6: Final answer
    x = 7,798.68

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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.