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Finding the Fourth Proportional to 8,957.43, 13,432.95 and 3,409.30

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Solution

The fourth proportional to 8,957.43, 13,432.95 and 3,409.30 is: 5,112.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,957.43 : 13,432.95 = 3,409.30 : x
  2. Step 2: Convert to fraction form
    8,957.43/13,432.95 = 3,409.30/x
  3. Step 3: Cross multiply
    8,957.43x = 13,432.95 × 3,409.30
  4. Step 4: Simplify right side
    8,957.43x = 45,796,956.44
  5. Step 5: Solve for x
    x = 45,796,956.44/8,957.43
  6. Step 6: Final answer
    x = 5,112.73

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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.