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Finding the Fourth Proportional to 27,805.88, 41,709 and 9,337.88

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Solution

The fourth proportional to 27,805.88, 41,709 and 9,337.88 is: 14,006.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,805.88 : 41,709 = 9,337.88 : x
  2. Step 2: Convert to fraction form
    27,805.88/41,709 = 9,337.88/x
  3. Step 3: Cross multiply
    27,805.88x = 41,709 × 9,337.88
  4. Step 4: Simplify right side
    27,805.88x = 389,473,636.92
  5. Step 5: Solve for x
    x = 389,473,636.92/27,805.88
  6. Step 6: Final answer
    x = 14,006.88

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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.