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Finding the Fourth Proportional to 9,227.15, 13,840.74 and 2,651.81

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Solution

The fourth proportional to 9,227.15, 13,840.74 and 2,651.81 is: 3,977.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,227.15 : 13,840.74 = 2,651.81 : x
  2. Step 2: Convert to fraction form
    9,227.15/13,840.74 = 2,651.81/x
  3. Step 3: Cross multiply
    9,227.15x = 13,840.74 × 2,651.81
  4. Step 4: Simplify right side
    9,227.15x = 36,702,943.54
  5. Step 5: Solve for x
    x = 36,702,943.54/9,227.15
  6. Step 6: Final answer
    x = 3,977.71

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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.