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Finding the Fourth Proportional to 9,110.96, 13,667.88 and 3,189.50

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Solution

The fourth proportional to 9,110.96, 13,667.88 and 3,189.50 is: 4,784.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.96 : 13,667.88 = 3,189.50 : x
  2. Step 2: Convert to fraction form
    9,110.96/13,667.88 = 3,189.50/x
  3. Step 3: Cross multiply
    9,110.96x = 13,667.88 × 3,189.50
  4. Step 4: Simplify right side
    9,110.96x = 43,593,634.92
  5. Step 5: Solve for x
    x = 43,593,634.92/9,110.96
  6. Step 6: Final answer
    x = 4,784.75

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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.