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Finding the Fourth Proportional to 9,633.89, 14,403.36 and 8,169.45

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Solution

The fourth proportional to 9,633.89, 14,403.36 and 8,169.45 is: 12,213.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,633.89 : 14,403.36 = 8,169.45 : x
  2. Step 2: Convert to fraction form
    9,633.89/14,403.36 = 8,169.45/x
  3. Step 3: Cross multiply
    9,633.89x = 14,403.36 × 8,169.45
  4. Step 4: Simplify right side
    9,633.89x = 117,667,529.35
  5. Step 5: Solve for x
    x = 117,667,529.35/9,633.89
  6. Step 6: Final answer
    x = 12,213.92

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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.