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Finding the Fourth Proportional to 9,837.77, 13,575.72 and 5,361.42

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Solution

The fourth proportional to 9,837.77, 13,575.72 and 5,361.42 is: 7,398.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,837.77 : 13,575.72 = 5,361.42 : x
  2. Step 2: Convert to fraction form
    9,837.77/13,575.72 = 5,361.42/x
  3. Step 3: Cross multiply
    9,837.77x = 13,575.72 × 5,361.42
  4. Step 4: Simplify right side
    9,837.77x = 72,785,116.62
  5. Step 5: Solve for x
    x = 72,785,116.62/9,837.77
  6. Step 6: Final answer
    x = 7,398.54

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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.