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Finding the Fourth Proportional to 27,709.29, 41,562.86 and 9,241.29

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Solution

The fourth proportional to 27,709.29, 41,562.86 and 9,241.29 is: 13,861.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,709.29 : 41,562.86 = 9,241.29 : x
  2. Step 2: Convert to fraction form
    27,709.29/41,562.86 = 9,241.29/x
  3. Step 3: Cross multiply
    27,709.29x = 41,562.86 × 9,241.29
  4. Step 4: Simplify right side
    27,709.29x = 384,094,396.28
  5. Step 5: Solve for x
    x = 384,094,396.28/27,709.29
  6. Step 6: Final answer
    x = 13,861.57

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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.