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Finding the Fourth Proportional to 8,894.92, 13,342.86 and 3,964.90

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Solution

The fourth proportional to 8,894.92, 13,342.86 and 3,964.90 is: 5,947.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,894.92 : 13,342.86 = 3,964.90 : x
  2. Step 2: Convert to fraction form
    8,894.92/13,342.86 = 3,964.90/x
  3. Step 3: Cross multiply
    8,894.92x = 13,342.86 × 3,964.90
  4. Step 4: Simplify right side
    8,894.92x = 52,903,105.61
  5. Step 5: Solve for x
    x = 52,903,105.61/8,894.92
  6. Step 6: Final answer
    x = 5,947.56

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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.