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Finding the Fourth Proportional to 27,273.26, 40,913.99 and 9,738.98

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Solution

The fourth proportional to 27,273.26, 40,913.99 and 9,738.98 is: 14,609.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,273.26 : 40,913.99 = 9,738.98 : x
  2. Step 2: Convert to fraction form
    27,273.26/40,913.99 = 9,738.98/x
  3. Step 3: Cross multiply
    27,273.26x = 40,913.99 × 9,738.98
  4. Step 4: Simplify right side
    27,273.26x = 398,460,669.76
  5. Step 5: Solve for x
    x = 398,460,669.76/27,273.26
  6. Step 6: Final answer
    x = 14,609.94

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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.