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Finding the Fourth Proportional to 9,838.14, 13,576.24 and 5,361.80

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Solution

The fourth proportional to 9,838.14, 13,576.24 and 5,361.80 is: 7,399.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.14 : 13,576.24 = 5,361.80 : x
  2. Step 2: Convert to fraction form
    9,838.14/13,576.24 = 5,361.80/x
  3. Step 3: Cross multiply
    9,838.14x = 13,576.24 × 5,361.80
  4. Step 4: Simplify right side
    9,838.14x = 72,792,992.29
  5. Step 5: Solve for x
    x = 72,792,992.29/9,838.14
  6. Step 6: Final answer
    x = 7,399.06

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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.