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Finding the Fourth Proportional to 8,494.92, 12,743.19 and 2,946.96

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Solution

The fourth proportional to 8,494.92, 12,743.19 and 2,946.96 is: 4,420.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,494.92 : 12,743.19 = 2,946.96 : x
  2. Step 2: Convert to fraction form
    8,494.92/12,743.19 = 2,946.96/x
  3. Step 3: Cross multiply
    8,494.92x = 12,743.19 × 2,946.96
  4. Step 4: Simplify right side
    8,494.92x = 37,553,671.20
  5. Step 5: Solve for x
    x = 37,553,671.20/8,494.92
  6. Step 6: Final answer
    x = 4,420.72

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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.