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Finding the Fourth Proportional to 6,836.63, 9,432.45 and 4,181.27

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Solution

The fourth proportional to 6,836.63, 9,432.45 and 4,181.27 is: 5,768.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,836.63 : 9,432.45 = 4,181.27 : x
  2. Step 2: Convert to fraction form
    6,836.63/9,432.45 = 4,181.27/x
  3. Step 3: Cross multiply
    6,836.63x = 9,432.45 × 4,181.27
  4. Step 4: Simplify right side
    6,836.63x = 39,439,620.21
  5. Step 5: Solve for x
    x = 39,439,620.21/6,836.63
  6. Step 6: Final answer
    x = 5,768.87

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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.