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Finding the Fourth Proportional to 9,872.82, 14,772.15 and 5,909.49

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Solution

The fourth proportional to 9,872.82, 14,772.15 and 5,909.49 is: 8,842.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,872.82 : 14,772.15 = 5,909.49 : x
  2. Step 2: Convert to fraction form
    9,872.82/14,772.15 = 5,909.49/x
  3. Step 3: Cross multiply
    9,872.82x = 14,772.15 × 5,909.49
  4. Step 4: Simplify right side
    9,872.82x = 87,295,872.70
  5. Step 5: Solve for x
    x = 87,295,872.70/9,872.82
  6. Step 6: Final answer
    x = 8,842.04

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1.5x scale

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.