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Finding the Fourth Proportional to 6,364.29, 8,786.03 and 4,944.78

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Solution

The fourth proportional to 6,364.29, 8,786.03 and 4,944.78 is: 6,826.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,364.29 : 8,786.03 = 4,944.78 : x
  2. Step 2: Convert to fraction form
    6,364.29/8,786.03 = 4,944.78/x
  3. Step 3: Cross multiply
    6,364.29x = 8,786.03 × 4,944.78
  4. Step 4: Simplify right side
    6,364.29x = 43,444,975.82
  5. Step 5: Solve for x
    x = 43,444,975.82/6,364.29
  6. Step 6: Final answer
    x = 6,826.37

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