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Finding the Fourth Proportional to 8,422.29, 12,644.37 and 6,475.86

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Solution

The fourth proportional to 8,422.29, 12,644.37 and 6,475.86 is: 9,722.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,422.29 : 12,644.37 = 6,475.86 : x
  2. Step 2: Convert to fraction form
    8,422.29/12,644.37 = 6,475.86/x
  3. Step 3: Cross multiply
    8,422.29x = 12,644.37 × 6,475.86
  4. Step 4: Simplify right side
    8,422.29x = 81,883,169.91
  5. Step 5: Solve for x
    x = 81,883,169.91/8,422.29
  6. Step 6: Final answer
    x = 9,722.20

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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.