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Finding the Fourth Proportional to 6,246.78, 9,378.41 and 5,731.02

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Solution

The fourth proportional to 6,246.78, 9,378.41 and 5,731.02 is: 8,604.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,246.78 : 9,378.41 = 5,731.02 : x
  2. Step 2: Convert to fraction form
    6,246.78/9,378.41 = 5,731.02/x
  3. Step 3: Cross multiply
    6,246.78x = 9,378.41 × 5,731.02
  4. Step 4: Simplify right side
    6,246.78x = 53,747,826.62
  5. Step 5: Solve for x
    x = 53,747,826.62/6,246.78
  6. Step 6: Final answer
    x = 8,604.09

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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.