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Finding the Fourth Proportional to 6,469.37, 9,704.07 and 2,771.30

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Solution

The fourth proportional to 6,469.37, 9,704.07 and 2,771.30 is: 4,156.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,469.37 : 9,704.07 = 2,771.30 : x
  2. Step 2: Convert to fraction form
    6,469.37/9,704.07 = 2,771.30/x
  3. Step 3: Cross multiply
    6,469.37x = 9,704.07 × 2,771.30
  4. Step 4: Simplify right side
    6,469.37x = 26,892,889.19
  5. Step 5: Solve for x
    x = 26,892,889.19/6,469.37
  6. Step 6: Final answer
    x = 4,156.96

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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.