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Finding the Fourth Proportional to 6,372.64, 9,560.64 and 4,003.44

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Solution

The fourth proportional to 6,372.64, 9,560.64 and 4,003.44 is: 6,006.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,372.64 : 9,560.64 = 4,003.44 : x
  2. Step 2: Convert to fraction form
    6,372.64/9,560.64 = 4,003.44/x
  3. Step 3: Cross multiply
    6,372.64x = 9,560.64 × 4,003.44
  4. Step 4: Simplify right side
    6,372.64x = 38,275,448.60
  5. Step 5: Solve for x
    x = 38,275,448.60/6,372.64
  6. Step 6: Final answer
    x = 6,006.22

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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.