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Finding the Fourth Proportional to 8,464.77, 12,693.51 and 3,267

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Solution

The fourth proportional to 8,464.77, 12,693.51 and 3,267 is: 4,899.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.77 : 12,693.51 = 3,267 : x
  2. Step 2: Convert to fraction form
    8,464.77/12,693.51 = 3,267/x
  3. Step 3: Cross multiply
    8,464.77x = 12,693.51 × 3,267
  4. Step 4: Simplify right side
    8,464.77x = 41,469,697.17
  5. Step 5: Solve for x
    x = 41,469,697.17/8,464.77
  6. Step 6: Final answer
    x = 4,899.09

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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.