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Finding the Fourth Proportional to 9,158.15, 13,737.23 and 4,226.33

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Solution

The fourth proportional to 9,158.15, 13,737.23 and 4,226.33 is: 6,339.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,158.15 : 13,737.23 = 4,226.33 : x
  2. Step 2: Convert to fraction form
    9,158.15/13,737.23 = 4,226.33/x
  3. Step 3: Cross multiply
    9,158.15x = 13,737.23 × 4,226.33
  4. Step 4: Simplify right side
    9,158.15x = 58,058,067.27
  5. Step 5: Solve for x
    x = 58,058,067.27/9,158.15
  6. Step 6: Final answer
    x = 6,339.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.