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Finding the Fourth Proportional to 6,187.34, 9,272.82 and 5,361.78

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Solution

The fourth proportional to 6,187.34, 9,272.82 and 5,361.78 is: 8,035.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,187.34 : 9,272.82 = 5,361.78 : x
  2. Step 2: Convert to fraction form
    6,187.34/9,272.82 = 5,361.78/x
  3. Step 3: Cross multiply
    6,187.34x = 9,272.82 × 5,361.78
  4. Step 4: Simplify right side
    6,187.34x = 49,718,820.82
  5. Step 5: Solve for x
    x = 49,718,820.82/6,187.34
  6. Step 6: Final answer
    x = 8,035.57

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.