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Finding the Fourth Proportional to 9,600.56, 13,249.28 and 6,408.32

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Solution

The fourth proportional to 9,600.56, 13,249.28 and 6,408.32 is: 8,843.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.56 : 13,249.28 = 6,408.32 : x
  2. Step 2: Convert to fraction form
    9,600.56/13,249.28 = 6,408.32/x
  3. Step 3: Cross multiply
    9,600.56x = 13,249.28 × 6,408.32
  4. Step 4: Simplify right side
    9,600.56x = 84,905,626.01
  5. Step 5: Solve for x
    x = 84,905,626.01/9,600.56
  6. Step 6: Final answer
    x = 8,843.82

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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.