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Finding the Fourth Proportional to 8,427.43, 12,624.22 and 4,197.93

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Solution

The fourth proportional to 8,427.43, 12,624.22 and 4,197.93 is: 6,288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.43 : 12,624.22 = 4,197.93 : x
  2. Step 2: Convert to fraction form
    8,427.43/12,624.22 = 4,197.93/x
  3. Step 3: Cross multiply
    8,427.43x = 12,624.22 × 4,197.93
  4. Step 4: Simplify right side
    8,427.43x = 52,995,591.86
  5. Step 5: Solve for x
    x = 52,995,591.86/8,427.43
  6. Step 6: Final answer
    x = 6,288.46

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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.