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Finding the Fourth Proportional to 9,467.75, 14,202.07 and 3,623.94

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Solution

The fourth proportional to 9,467.75, 14,202.07 and 3,623.94 is: 5,436.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,467.75 : 14,202.07 = 3,623.94 : x
  2. Step 2: Convert to fraction form
    9,467.75/14,202.07 = 3,623.94/x
  3. Step 3: Cross multiply
    9,467.75x = 14,202.07 × 3,623.94
  4. Step 4: Simplify right side
    9,467.75x = 51,467,440.50
  5. Step 5: Solve for x
    x = 51,467,440.50/9,467.75
  6. Step 6: Final answer
    x = 5,436.08

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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.