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Finding the Fourth Proportional to 9,638.67, 14,448.16 and 5,469.88

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Solution

The fourth proportional to 9,638.67, 14,448.16 and 5,469.88 is: 8,199.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,638.67 : 14,448.16 = 5,469.88 : x
  2. Step 2: Convert to fraction form
    9,638.67/14,448.16 = 5,469.88/x
  3. Step 3: Cross multiply
    9,638.67x = 14,448.16 × 5,469.88
  4. Step 4: Simplify right side
    9,638.67x = 79,029,651.63
  5. Step 5: Solve for x
    x = 79,029,651.63/9,638.67
  6. Step 6: Final answer
    x = 8,199.23

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.