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Finding the Fourth Proportional to 9,487.73, 14,234.04 and 3,644.81

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Solution

The fourth proportional to 9,487.73, 14,234.04 and 3,644.81 is: 5,468.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.73 : 14,234.04 = 3,644.81 : x
  2. Step 2: Convert to fraction form
    9,487.73/14,234.04 = 3,644.81/x
  3. Step 3: Cross multiply
    9,487.73x = 14,234.04 × 3,644.81
  4. Step 4: Simplify right side
    9,487.73x = 51,880,371.33
  5. Step 5: Solve for x
    x = 51,880,371.33/9,487.73
  6. Step 6: Final answer
    x = 5,468.15

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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.