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Finding the Fourth Proportional to 8,427.96, 12,649.70 and 4,270.86

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Solution

The fourth proportional to 8,427.96, 12,649.70 and 4,270.86 is: 6,410.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.96 : 12,649.70 = 4,270.86 : x
  2. Step 2: Convert to fraction form
    8,427.96/12,649.70 = 4,270.86/x
  3. Step 3: Cross multiply
    8,427.96x = 12,649.70 × 4,270.86
  4. Step 4: Simplify right side
    8,427.96x = 54,025,076.39
  5. Step 5: Solve for x
    x = 54,025,076.39/8,427.96
  6. Step 6: Final answer
    x = 6,410.22

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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.