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Finding the Fourth Proportional to 9,777.27, 14,665.89 and 2,757.27

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Solution

The fourth proportional to 9,777.27, 14,665.89 and 2,757.27 is: 4,135.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.27 : 14,665.89 = 2,757.27 : x
  2. Step 2: Convert to fraction form
    9,777.27/14,665.89 = 2,757.27/x
  3. Step 3: Cross multiply
    9,777.27x = 14,665.89 × 2,757.27
  4. Step 4: Simplify right side
    9,777.27x = 40,437,883.86
  5. Step 5: Solve for x
    x = 40,437,883.86/9,777.27
  6. Step 6: Final answer
    x = 4,135.91

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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.