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Finding the Fourth Proportional to 6,441.88, 9,655.86 and 2,743.48

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Solution

The fourth proportional to 6,441.88, 9,655.86 and 2,743.48 is: 4,112.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.88 : 9,655.86 = 2,743.48 : x
  2. Step 2: Convert to fraction form
    6,441.88/9,655.86 = 2,743.48/x
  3. Step 3: Cross multiply
    6,441.88x = 9,655.86 × 2,743.48
  4. Step 4: Simplify right side
    6,441.88x = 26,490,658.79
  5. Step 5: Solve for x
    x = 26,490,658.79/6,441.88
  6. Step 6: Final answer
    x = 4,112.26

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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.