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Finding the Fourth Proportional to 9,238.86, 13,863.76 and 3,399.57

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Solution

The fourth proportional to 9,238.86, 13,863.76 and 3,399.57 is: 5,101.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,238.86 : 13,863.76 = 3,399.57 : x
  2. Step 2: Convert to fraction form
    9,238.86/13,863.76 = 3,399.57/x
  3. Step 3: Cross multiply
    9,238.86x = 13,863.76 × 3,399.57
  4. Step 4: Simplify right side
    9,238.86x = 47,130,814.08
  5. Step 5: Solve for x
    x = 47,130,814.08/9,238.86
  6. Step 6: Final answer
    x = 5,101.37

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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.