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Finding the Fourth Proportional to 6,441.44, 9,659.44 and 2,743.52

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Solution

The fourth proportional to 6,441.44, 9,659.44 and 2,743.52 is: 4,114.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.44 : 9,659.44 = 2,743.52 : x
  2. Step 2: Convert to fraction form
    6,441.44/9,659.44 = 2,743.52/x
  3. Step 3: Cross multiply
    6,441.44x = 9,659.44 × 2,743.52
  4. Step 4: Simplify right side
    6,441.44x = 26,500,866.83
  5. Step 5: Solve for x
    x = 26,500,866.83/6,441.44
  6. Step 6: Final answer
    x = 4,114.12

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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.