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Finding the Fourth Proportional to 6,256.14, 9,375.21 and 3,132.96

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Solution

The fourth proportional to 6,256.14, 9,375.21 and 3,132.96 is: 4,694.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,256.14 : 9,375.21 = 3,132.96 : x
  2. Step 2: Convert to fraction form
    6,256.14/9,375.21 = 3,132.96/x
  3. Step 3: Cross multiply
    6,256.14x = 9,375.21 × 3,132.96
  4. Step 4: Simplify right side
    6,256.14x = 29,372,157.92
  5. Step 5: Solve for x
    x = 29,372,157.92/6,256.14
  6. Step 6: Final answer
    x = 4,694.93

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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.