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Finding the Fourth Proportional to 9,178.81, 13,768.22 and 2,253.31

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Solution

The fourth proportional to 9,178.81, 13,768.22 and 2,253.31 is: 3,379.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,178.81 : 13,768.22 = 2,253.31 : x
  2. Step 2: Convert to fraction form
    9,178.81/13,768.22 = 2,253.31/x
  3. Step 3: Cross multiply
    9,178.81x = 13,768.22 × 2,253.31
  4. Step 4: Simplify right side
    9,178.81x = 31,023,998.97
  5. Step 5: Solve for x
    x = 31,023,998.97/9,178.81
  6. Step 6: Final answer
    x = 3,379.96

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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.