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Finding the Fourth Proportional to 6,236.72, 9,344.28 and 4,771.52

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Solution

The fourth proportional to 6,236.72, 9,344.28 and 4,771.52 is: 7,149.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,236.72 : 9,344.28 = 4,771.52 : x
  2. Step 2: Convert to fraction form
    6,236.72/9,344.28 = 4,771.52/x
  3. Step 3: Cross multiply
    6,236.72x = 9,344.28 × 4,771.52
  4. Step 4: Simplify right side
    6,236.72x = 44,586,418.91
  5. Step 5: Solve for x
    x = 44,586,418.91/6,236.72
  6. Step 6: Final answer
    x = 7,149.02

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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.