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Finding the Fourth Proportional to 8,276.67, 12,419.46 and 6,431.49

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Solution

The fourth proportional to 8,276.67, 12,419.46 and 6,431.49 is: 9,650.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,276.67 : 12,419.46 = 6,431.49 : x
  2. Step 2: Convert to fraction form
    8,276.67/12,419.46 = 6,431.49/x
  3. Step 3: Cross multiply
    8,276.67x = 12,419.46 × 6,431.49
  4. Step 4: Simplify right side
    8,276.67x = 79,875,632.80
  5. Step 5: Solve for x
    x = 79,875,632.80/8,276.67
  6. Step 6: Final answer
    x = 9,650.70

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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.