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Finding the Fourth Proportional to 8,431.21, 12,636.96 and 6,344.50

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Solution

The fourth proportional to 8,431.21, 12,636.96 and 6,344.50 is: 9,509.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,431.21 : 12,636.96 = 6,344.50 : x
  2. Step 2: Convert to fraction form
    8,431.21/12,636.96 = 6,344.50/x
  3. Step 3: Cross multiply
    8,431.21x = 12,636.96 × 6,344.50
  4. Step 4: Simplify right side
    8,431.21x = 80,175,161.00
  5. Step 5: Solve for x
    x = 80,175,161.00/8,431.21
  6. Step 6: Final answer
    x = 9,509.34

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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.