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Finding the Fourth Proportional to 12,402.02, 18,596.18 and 6,464.09

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Solution

The fourth proportional to 12,402.02, 18,596.18 and 6,464.09 is: 9,692.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,402.02 : 18,596.18 = 6,464.09 : x
  2. Step 2: Convert to fraction form
    12,402.02/18,596.18 = 6,464.09/x
  3. Step 3: Cross multiply
    12,402.02x = 18,596.18 × 6,464.09
  4. Step 4: Simplify right side
    12,402.02x = 120,207,255.87
  5. Step 5: Solve for x
    x = 120,207,255.87/12,402.02
  6. Step 6: Final answer
    x = 9,692.56

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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.