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Finding the Fourth Proportional to 9,837.72, 13,575.71 and 5,361.38

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Solution

The fourth proportional to 9,837.72, 13,575.71 and 5,361.38 is: 7,398.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.72 : 13,575.71 = 5,361.38 : x
  2. Step 2: Convert to fraction form
    9,837.72/13,575.71 = 5,361.38/x
  3. Step 3: Cross multiply
    9,837.72x = 13,575.71 × 5,361.38
  4. Step 4: Simplify right side
    9,837.72x = 72,784,587.42
  5. Step 5: Solve for x
    x = 72,784,587.42/9,837.72
  6. Step 6: Final answer
    x = 7,398.52

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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.