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Finding the Fourth Proportional to 9,843.60, 14,765.85 and 3,999.75

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Solution

The fourth proportional to 9,843.60, 14,765.85 and 3,999.75 is: 5,999.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,843.60 : 14,765.85 = 3,999.75 : x
  2. Step 2: Convert to fraction form
    9,843.60/14,765.85 = 3,999.75/x
  3. Step 3: Cross multiply
    9,843.60x = 14,765.85 × 3,999.75
  4. Step 4: Simplify right side
    9,843.60x = 59,059,708.54
  5. Step 5: Solve for x
    x = 59,059,708.54/9,843.60
  6. Step 6: Final answer
    x = 5,999.81

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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.