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Finding the Fourth Proportional to 9,109.69, 13,633.67 and 5,601.92

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Solution

The fourth proportional to 9,109.69, 13,633.67 and 5,601.92 is: 8,383.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,109.69 : 13,633.67 = 5,601.92 : x
  2. Step 2: Convert to fraction form
    9,109.69/13,633.67 = 5,601.92/x
  3. Step 3: Cross multiply
    9,109.69x = 13,633.67 × 5,601.92
  4. Step 4: Simplify right side
    9,109.69x = 76,374,632.47
  5. Step 5: Solve for x
    x = 76,374,632.47/9,109.69
  6. Step 6: Final answer
    x = 8,383.89

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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.