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Finding the Fourth Proportional to 9,600.16, 13,248.72 and 5,408.80

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Solution

The fourth proportional to 9,600.16, 13,248.72 and 5,408.80 is: 7,464.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.16 : 13,248.72 = 5,408.80 : x
  2. Step 2: Convert to fraction form
    9,600.16/13,248.72 = 5,408.80/x
  3. Step 3: Cross multiply
    9,600.16x = 13,248.72 × 5,408.80
  4. Step 4: Simplify right side
    9,600.16x = 71,659,676.74
  5. Step 5: Solve for x
    x = 71,659,676.74/9,600.16
  6. Step 6: Final answer
    x = 7,464.43

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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.