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Finding the Fourth Proportional to 9,838.12, 13,576.21 and 5,361.77

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Solution

The fourth proportional to 9,838.12, 13,576.21 and 5,361.77 is: 7,399.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.12 : 13,576.21 = 5,361.77 : x
  2. Step 2: Convert to fraction form
    9,838.12/13,576.21 = 5,361.77/x
  3. Step 3: Cross multiply
    9,838.12x = 13,576.21 × 5,361.77
  4. Step 4: Simplify right side
    9,838.12x = 72,792,536.03
  5. Step 5: Solve for x
    x = 72,792,536.03/9,838.12
  6. Step 6: Final answer
    x = 7,399.03

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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.