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Finding the Fourth Proportional to 6,408.03, 9,611.24 and 1,728.40

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Solution

The fourth proportional to 6,408.03, 9,611.24 and 1,728.40 is: 2,592.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,408.03 : 9,611.24 = 1,728.40 : x
  2. Step 2: Convert to fraction form
    6,408.03/9,611.24 = 1,728.40/x
  3. Step 3: Cross multiply
    6,408.03x = 9,611.24 × 1,728.40
  4. Step 4: Simplify right side
    6,408.03x = 16,612,067.22
  5. Step 5: Solve for x
    x = 16,612,067.22/6,408.03
  6. Step 6: Final answer
    x = 2,592.38

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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.