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Finding the Fourth Proportional to 12,635.70, 18,965.22 and 6,400.09

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Solution

The fourth proportional to 12,635.70, 18,965.22 and 6,400.09 is: 9,606.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,635.70 : 18,965.22 = 6,400.09 : x
  2. Step 2: Convert to fraction form
    12,635.70/18,965.22 = 6,400.09/x
  3. Step 3: Cross multiply
    12,635.70x = 18,965.22 × 6,400.09
  4. Step 4: Simplify right side
    12,635.70x = 121,379,082.87
  5. Step 5: Solve for x
    x = 121,379,082.87/12,635.70
  6. Step 6: Final answer
    x = 9,606.05

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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.