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Finding the Fourth Proportional to 8,464.35, 12,697.71 and 3,532.86

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Solution

The fourth proportional to 8,464.35, 12,697.71 and 3,532.86 is: 5,299.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.35 : 12,697.71 = 3,532.86 : x
  2. Step 2: Convert to fraction form
    8,464.35/12,697.71 = 3,532.86/x
  3. Step 3: Cross multiply
    8,464.35x = 12,697.71 × 3,532.86
  4. Step 4: Simplify right side
    8,464.35x = 44,859,231.75
  5. Step 5: Solve for x
    x = 44,859,231.75/8,464.35
  6. Step 6: Final answer
    x = 5,299.78

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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.