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Finding the Fourth Proportional to 6,034.63, 9,049.67 and 2,524.87

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Solution

The fourth proportional to 6,034.63, 9,049.67 and 2,524.87 is: 3,786.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,034.63 : 9,049.67 = 2,524.87 : x
  2. Step 2: Convert to fraction form
    6,034.63/9,049.67 = 2,524.87/x
  3. Step 3: Cross multiply
    6,034.63x = 9,049.67 × 2,524.87
  4. Step 4: Simplify right side
    6,034.63x = 22,849,262.65
  5. Step 5: Solve for x
    x = 22,849,262.65/6,034.63
  6. Step 6: Final answer
    x = 3,786.36

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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.