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Finding the Fourth Proportional to 6,361.31, 9,541.35 and 3,894.86

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Solution

The fourth proportional to 6,361.31, 9,541.35 and 3,894.86 is: 5,841.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,361.31 : 9,541.35 = 3,894.86 : x
  2. Step 2: Convert to fraction form
    6,361.31/9,541.35 = 3,894.86/x
  3. Step 3: Cross multiply
    6,361.31x = 9,541.35 × 3,894.86
  4. Step 4: Simplify right side
    6,361.31x = 37,162,174.75
  5. Step 5: Solve for x
    x = 37,162,174.75/6,361.31
  6. Step 6: Final answer
    x = 5,841.91

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Why These Related Problems?

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