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Finding the Fourth Proportional to 8,464.69, 11,670.24 and 6,472.09

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Solution

The fourth proportional to 8,464.69, 11,670.24 and 6,472.09 is: 8,923.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,464.69 : 11,670.24 = 6,472.09 : x
  2. Step 2: Convert to fraction form
    8,464.69/11,670.24 = 6,472.09/x
  3. Step 3: Cross multiply
    8,464.69x = 11,670.24 × 6,472.09
  4. Step 4: Simplify right side
    8,464.69x = 75,530,843.60
  5. Step 5: Solve for x
    x = 75,530,843.60/8,464.69
  6. Step 6: Final answer
    x = 8,923.05

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.