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Finding the Fourth Proportional to 8,420.75, 12,624.20 and 6,336.69

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Solution

The fourth proportional to 8,420.75, 12,624.20 and 6,336.69 is: 9,499.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.75 : 12,624.20 = 6,336.69 : x
  2. Step 2: Convert to fraction form
    8,420.75/12,624.20 = 6,336.69/x
  3. Step 3: Cross multiply
    8,420.75x = 12,624.20 × 6,336.69
  4. Step 4: Simplify right side
    8,420.75x = 79,995,641.90
  5. Step 5: Solve for x
    x = 79,995,641.90/8,420.75
  6. Step 6: Final answer
    x = 9,499.82

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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.