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Finding the Fourth Proportional to 9,837.72, 13,576.32 and 5,361.21

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Solution

The fourth proportional to 9,837.72, 13,576.32 and 5,361.21 is: 7,398.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.72 : 13,576.32 = 5,361.21 : x
  2. Step 2: Convert to fraction form
    9,837.72/13,576.32 = 5,361.21/x
  3. Step 3: Cross multiply
    9,837.72x = 13,576.32 × 5,361.21
  4. Step 4: Simplify right side
    9,837.72x = 72,785,502.55
  5. Step 5: Solve for x
    x = 72,785,502.55/9,837.72
  6. Step 6: Final answer
    x = 7,398.61

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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.