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Finding the Fourth Proportional to 9,588.75, 14,383.03 and 2,472.96

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Solution

The fourth proportional to 9,588.75, 14,383.03 and 2,472.96 is: 3,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,588.75 : 14,383.03 = 2,472.96 : x
  2. Step 2: Convert to fraction form
    9,588.75/14,383.03 = 2,472.96/x
  3. Step 3: Cross multiply
    9,588.75x = 14,383.03 × 2,472.96
  4. Step 4: Simplify right side
    9,588.75x = 35,568,657.87
  5. Step 5: Solve for x
    x = 35,568,657.87/9,588.75
  6. Step 6: Final answer
    x = 3,709.42

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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.