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Finding the Fourth Proportional to 9,811.98, 14,723.37 and 8,270.28

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Solution

The fourth proportional to 9,811.98, 14,723.37 and 8,270.28 is: 12,409.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,811.98 : 14,723.37 = 8,270.28 : x
  2. Step 2: Convert to fraction form
    9,811.98/14,723.37 = 8,270.28/x
  3. Step 3: Cross multiply
    9,811.98x = 14,723.37 × 8,270.28
  4. Step 4: Simplify right side
    9,811.98x = 121,766,392.44
  5. Step 5: Solve for x
    x = 121,766,392.44/9,811.98
  6. Step 6: Final answer
    x = 12,409.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.