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Finding the Fourth Proportional to 9,811.53, 14,723.78 and 5,859.88

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Solution

The fourth proportional to 9,811.53, 14,723.78 and 5,859.88 is: 8,793.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.53 : 14,723.78 = 5,859.88 : x
  2. Step 2: Convert to fraction form
    9,811.53/14,723.78 = 5,859.88/x
  3. Step 3: Cross multiply
    9,811.53x = 14,723.78 × 5,859.88
  4. Step 4: Simplify right side
    9,811.53x = 86,279,517.84
  5. Step 5: Solve for x
    x = 86,279,517.84/9,811.53
  6. Step 6: Final answer
    x = 8,793.69

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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.