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Finding the Fourth Proportional to 6,247.78, 9,375.90 and 4,771.60

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Solution

The fourth proportional to 6,247.78, 9,375.90 and 4,771.60 is: 7,160.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,247.78 : 9,375.90 = 4,771.60 : x
  2. Step 2: Convert to fraction form
    6,247.78/9,375.90 = 4,771.60/x
  3. Step 3: Cross multiply
    6,247.78x = 9,375.90 × 4,771.60
  4. Step 4: Simplify right side
    6,247.78x = 44,738,044.44
  5. Step 5: Solve for x
    x = 44,738,044.44/6,247.78
  6. Step 6: Final answer
    x = 7,160.63

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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.