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Finding the Fourth Proportional to 9,188.23, 13,780.27 and 2,614.27

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Solution

The fourth proportional to 9,188.23, 13,780.27 and 2,614.27 is: 3,920.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,188.23 : 13,780.27 = 2,614.27 : x
  2. Step 2: Convert to fraction form
    9,188.23/13,780.27 = 2,614.27/x
  3. Step 3: Cross multiply
    9,188.23x = 13,780.27 × 2,614.27
  4. Step 4: Simplify right side
    9,188.23x = 36,025,346.45
  5. Step 5: Solve for x
    x = 36,025,346.45/9,188.23
  6. Step 6: Final answer
    x = 3,920.81

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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.