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Finding the Fourth Proportional to 6,376.72, 9,568.86 and 3,454.96

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Solution

The fourth proportional to 6,376.72, 9,568.86 and 3,454.96 is: 5,184.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,376.72 : 9,568.86 = 3,454.96 : x
  2. Step 2: Convert to fraction form
    6,376.72/9,568.86 = 3,454.96/x
  3. Step 3: Cross multiply
    6,376.72x = 9,568.86 × 3,454.96
  4. Step 4: Simplify right side
    6,376.72x = 33,060,028.55
  5. Step 5: Solve for x
    x = 33,060,028.55/6,376.72
  6. Step 6: Final answer
    x = 5,184.49

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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.