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Finding the Fourth Proportional to 9,487.88, 14,233.68 and 3,644.04

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Solution

The fourth proportional to 9,487.88, 14,233.68 and 3,644.04 is: 5,466.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,487.88 : 14,233.68 = 3,644.04 : x
  2. Step 2: Convert to fraction form
    9,487.88/14,233.68 = 3,644.04/x
  3. Step 3: Cross multiply
    9,487.88x = 14,233.68 × 3,644.04
  4. Step 4: Simplify right side
    9,487.88x = 51,868,099.27
  5. Step 5: Solve for x
    x = 51,868,099.27/9,487.88
  6. Step 6: Final answer
    x = 5,466.77

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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.