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Finding the Fourth Proportional to 9,645.62, 14,469.03 and 3,725.33

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Solution

The fourth proportional to 9,645.62, 14,469.03 and 3,725.33 is: 5,588.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,645.62 : 14,469.03 = 3,725.33 : x
  2. Step 2: Convert to fraction form
    9,645.62/14,469.03 = 3,725.33/x
  3. Step 3: Cross multiply
    9,645.62x = 14,469.03 × 3,725.33
  4. Step 4: Simplify right side
    9,645.62x = 53,901,839.18
  5. Step 5: Solve for x
    x = 53,901,839.18/9,645.62
  6. Step 6: Final answer
    x = 5,588.22

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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.