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Finding the Fourth Proportional to 6,944.28, 9,585.72 and 4,589.61

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Solution

The fourth proportional to 6,944.28, 9,585.72 and 4,589.61 is: 6,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,944.28 : 9,585.72 = 4,589.61 : x
  2. Step 2: Convert to fraction form
    6,944.28/9,585.72 = 4,589.61/x
  3. Step 3: Cross multiply
    6,944.28x = 9,585.72 × 4,589.61
  4. Step 4: Simplify right side
    6,944.28x = 43,994,716.37
  5. Step 5: Solve for x
    x = 43,994,716.37/6,944.28
  6. Step 6: Final answer
    x = 6,335.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.