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Finding the Fourth Proportional to 9,745.14, 13,448.20 and 5,268.84

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Solution

The fourth proportional to 9,745.14, 13,448.20 and 5,268.84 is: 7,270.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,745.14 : 13,448.20 = 5,268.84 : x
  2. Step 2: Convert to fraction form
    9,745.14/13,448.20 = 5,268.84/x
  3. Step 3: Cross multiply
    9,745.14x = 13,448.20 × 5,268.84
  4. Step 4: Simplify right side
    9,745.14x = 70,856,414.09
  5. Step 5: Solve for x
    x = 70,856,414.09/9,745.14
  6. Step 6: Final answer
    x = 7,270.95

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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.