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Finding the Fourth Proportional to 9,600.84, 13,250.97 and 5,409.09

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Solution

The fourth proportional to 9,600.84, 13,250.97 and 5,409.09 is: 7,465.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,600.84 : 13,250.97 = 5,409.09 : x
  2. Step 2: Convert to fraction form
    9,600.84/13,250.97 = 5,409.09/x
  3. Step 3: Cross multiply
    9,600.84x = 13,250.97 × 5,409.09
  4. Step 4: Simplify right side
    9,600.84x = 71,675,689.32
  5. Step 5: Solve for x
    x = 71,675,689.32/9,600.84
  6. Step 6: Final answer
    x = 7,465.56

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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.