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Finding the Fourth Proportional to 27,945.60, 41,917.20 and 9,477.60

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Solution

The fourth proportional to 27,945.60, 41,917.20 and 9,477.60 is: 14,215.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,945.60 : 41,917.20 = 9,477.60 : x
  2. Step 2: Convert to fraction form
    27,945.60/41,917.20 = 9,477.60/x
  3. Step 3: Cross multiply
    27,945.60x = 41,917.20 × 9,477.60
  4. Step 4: Simplify right side
    27,945.60x = 397,274,454.72
  5. Step 5: Solve for x
    x = 397,274,454.72/27,945.60
  6. Step 6: Final answer
    x = 14,215.99

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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.