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Finding the Fourth Proportional to 9,142.11, 13,694.02 and 5,838.37

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Solution

The fourth proportional to 9,142.11, 13,694.02 and 5,838.37 is: 8,745.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,142.11 : 13,694.02 = 5,838.37 : x
  2. Step 2: Convert to fraction form
    9,142.11/13,694.02 = 5,838.37/x
  3. Step 3: Cross multiply
    9,142.11x = 13,694.02 × 5,838.37
  4. Step 4: Simplify right side
    9,142.11x = 79,950,706.72
  5. Step 5: Solve for x
    x = 79,950,706.72/9,142.11
  6. Step 6: Final answer
    x = 8,745.32

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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.