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Finding the Fourth Proportional to 27,734.44, 41,598.78 and 9,265

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Solution

The fourth proportional to 27,734.44, 41,598.78 and 9,265 is: 13,896.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,734.44 : 41,598.78 = 9,265 : x
  2. Step 2: Convert to fraction form
    27,734.44/41,598.78 = 9,265/x
  3. Step 3: Cross multiply
    27,734.44x = 41,598.78 × 9,265
  4. Step 4: Simplify right side
    27,734.44x = 385,412,696.70
  5. Step 5: Solve for x
    x = 385,412,696.70/27,734.44
  6. Step 6: Final answer
    x = 13,896.54

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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.