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Finding the Fourth Proportional to 9,867.50, 14,793.96 and 5,971.04

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Solution

The fourth proportional to 9,867.50, 14,793.96 and 5,971.04 is: 8,952.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,867.50 : 14,793.96 = 5,971.04 : x
  2. Step 2: Convert to fraction form
    9,867.50/14,793.96 = 5,971.04/x
  3. Step 3: Cross multiply
    9,867.50x = 14,793.96 × 5,971.04
  4. Step 4: Simplify right side
    9,867.50x = 88,335,326.92
  5. Step 5: Solve for x
    x = 88,335,326.92/9,867.50
  6. Step 6: Final answer
    x = 8,952.15

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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.