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Finding the Fourth Proportional to 6,367.53, 9,546.34 and 3,034.05

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Solution

The fourth proportional to 6,367.53, 9,546.34 and 3,034.05 is: 4,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,367.53 : 9,546.34 = 3,034.05 : x
  2. Step 2: Convert to fraction form
    6,367.53/9,546.34 = 3,034.05/x
  3. Step 3: Cross multiply
    6,367.53x = 9,546.34 × 3,034.05
  4. Step 4: Simplify right side
    6,367.53x = 28,964,072.88
  5. Step 5: Solve for x
    x = 28,964,072.88/6,367.53
  6. Step 6: Final answer
    x = 4,548.71

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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.