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Finding the Fourth Proportional to 6,438.72, 8,863.82 and 5,729.46

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Solution

The fourth proportional to 6,438.72, 8,863.82 and 5,729.46 is: 7,887.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,438.72 : 8,863.82 = 5,729.46 : x
  2. Step 2: Convert to fraction form
    6,438.72/8,863.82 = 5,729.46/x
  3. Step 3: Cross multiply
    6,438.72x = 8,863.82 × 5,729.46
  4. Step 4: Simplify right side
    6,438.72x = 50,784,873.49
  5. Step 5: Solve for x
    x = 50,784,873.49/6,438.72
  6. Step 6: Final answer
    x = 7,887.42

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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.