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Finding the Fourth Proportional to 8,947.55, 13,423.19 and 3,399.86

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Solution

The fourth proportional to 8,947.55, 13,423.19 and 3,399.86 is: 5,100.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,947.55 : 13,423.19 = 3,399.86 : x
  2. Step 2: Convert to fraction form
    8,947.55/13,423.19 = 3,399.86/x
  3. Step 3: Cross multiply
    8,947.55x = 13,423.19 × 3,399.86
  4. Step 4: Simplify right side
    8,947.55x = 45,636,983.31
  5. Step 5: Solve for x
    x = 45,636,983.31/8,947.55
  6. Step 6: Final answer
    x = 5,100.50

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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.