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Finding the Fourth Proportional to 9,838.11, 13,576.19 and 5,361.77

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Solution

The fourth proportional to 9,838.11, 13,576.19 and 5,361.77 is: 7,399.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,838.11 : 13,576.19 = 5,361.77 : x
  2. Step 2: Convert to fraction form
    9,838.11/13,576.19 = 5,361.77/x
  3. Step 3: Cross multiply
    9,838.11x = 13,576.19 × 5,361.77
  4. Step 4: Simplify right side
    9,838.11x = 72,792,340.38
  5. Step 5: Solve for x
    x = 72,792,340.38/9,838.11
  6. Step 6: Final answer
    x = 7,399.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.