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Finding the Fourth Proportional to 9,237.91, 13,821.93 and 5,667.28

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Solution

The fourth proportional to 9,237.91, 13,821.93 and 5,667.28 is: 8,479.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,237.91 : 13,821.93 = 5,667.28 : x
  2. Step 2: Convert to fraction form
    9,237.91/13,821.93 = 5,667.28/x
  3. Step 3: Cross multiply
    9,237.91x = 13,821.93 × 5,667.28
  4. Step 4: Simplify right side
    9,237.91x = 78,332,747.45
  5. Step 5: Solve for x
    x = 78,332,747.45/9,237.91
  6. Step 6: Final answer
    x = 8,479.49

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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.