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Finding the Fourth Proportional to 12,644.30, 18,977.92 and 6,408.66

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Solution

The fourth proportional to 12,644.30, 18,977.92 and 6,408.66 is: 9,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.30 : 18,977.92 = 6,408.66 : x
  2. Step 2: Convert to fraction form
    12,644.30/18,977.92 = 6,408.66/x
  3. Step 3: Cross multiply
    12,644.30x = 18,977.92 × 6,408.66
  4. Step 4: Simplify right side
    12,644.30x = 121,623,036.79
  5. Step 5: Solve for x
    x = 121,623,036.79/12,644.30
  6. Step 6: Final answer
    x = 9,618.80

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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.