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Finding the Fourth Proportional to 27,745.48, 41,623.98 and 9,277

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Solution

The fourth proportional to 27,745.48, 41,623.98 and 9,277 is: 13,917.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,745.48 : 41,623.98 = 9,277 : x
  2. Step 2: Convert to fraction form
    27,745.48/41,623.98 = 9,277/x
  3. Step 3: Cross multiply
    27,745.48x = 41,623.98 × 9,277
  4. Step 4: Simplify right side
    27,745.48x = 386,145,662.46
  5. Step 5: Solve for x
    x = 386,145,662.46/27,745.48
  6. Step 6: Final answer
    x = 13,917.43

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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.