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Finding the Fourth Proportional to 9,600.88, 13,249.32 and 5,409.04

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Solution

The fourth proportional to 9,600.88, 13,249.32 and 5,409.04 is: 7,464.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.88 : 13,249.32 = 5,409.04 : x
  2. Step 2: Convert to fraction form
    9,600.88/13,249.32 = 5,409.04/x
  3. Step 3: Cross multiply
    9,600.88x = 13,249.32 × 5,409.04
  4. Step 4: Simplify right side
    9,600.88x = 71,666,101.85
  5. Step 5: Solve for x
    x = 71,666,101.85/9,600.88
  6. Step 6: Final answer
    x = 7,464.53

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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.