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Finding the Fourth Proportional to 6,321.87, 9,478.13 and 3,031.83

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Solution

The fourth proportional to 6,321.87, 9,478.13 and 3,031.83 is: 4,545.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,321.87 : 9,478.13 = 3,031.83 : x
  2. Step 2: Convert to fraction form
    6,321.87/9,478.13 = 3,031.83/x
  3. Step 3: Cross multiply
    6,321.87x = 9,478.13 × 3,031.83
  4. Step 4: Simplify right side
    6,321.87x = 28,736,063.72
  5. Step 5: Solve for x
    x = 28,736,063.72/6,321.87
  6. Step 6: Final answer
    x = 4,545.50

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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.