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Finding the Fourth Proportional to 9,745.26, 13,448.37 and 5,496.14

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Solution

The fourth proportional to 9,745.26, 13,448.37 and 5,496.14 is: 7,584.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.26 : 13,448.37 = 5,496.14 : x
  2. Step 2: Convert to fraction form
    9,745.26/13,448.37 = 5,496.14/x
  3. Step 3: Cross multiply
    9,745.26x = 13,448.37 × 5,496.14
  4. Step 4: Simplify right side
    9,745.26x = 73,914,057.05
  5. Step 5: Solve for x
    x = 73,914,057.05/9,745.26
  6. Step 6: Final answer
    x = 7,584.62

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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.