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Finding the Fourth Proportional to 9,110.70, 13,667.50 and 3,189.24

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Solution

The fourth proportional to 9,110.70, 13,667.50 and 3,189.24 is: 4,784.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,110.70 : 13,667.50 = 3,189.24 : x
  2. Step 2: Convert to fraction form
    9,110.70/13,667.50 = 3,189.24/x
  3. Step 3: Cross multiply
    9,110.70x = 13,667.50 × 3,189.24
  4. Step 4: Simplify right side
    9,110.70x = 43,588,937.70
  5. Step 5: Solve for x
    x = 43,588,937.70/9,110.70
  6. Step 6: Final answer
    x = 4,784.37

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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.