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Finding the Fourth Proportional to 9,928.40, 13,698.12 and 5,735.12

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Solution

The fourth proportional to 9,928.40, 13,698.12 and 5,735.12 is: 7,912.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,928.40 : 13,698.12 = 5,735.12 : x
  2. Step 2: Convert to fraction form
    9,928.40/13,698.12 = 5,735.12/x
  3. Step 3: Cross multiply
    9,928.40x = 13,698.12 × 5,735.12
  4. Step 4: Simplify right side
    9,928.40x = 78,560,361.97
  5. Step 5: Solve for x
    x = 78,560,361.97/9,928.40
  6. Step 6: Final answer
    x = 7,912.69

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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.