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Finding the Fourth Proportional to 9,904.48, 14,866 and 5,227.96

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Solution

The fourth proportional to 9,904.48, 14,866 and 5,227.96 is: 7,846.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,904.48 : 14,866 = 5,227.96 : x
  2. Step 2: Convert to fraction form
    9,904.48/14,866 = 5,227.96/x
  3. Step 3: Cross multiply
    9,904.48x = 14,866 × 5,227.96
  4. Step 4: Simplify right side
    9,904.48x = 77,718,853.36
  5. Step 5: Solve for x
    x = 77,718,853.36/9,904.48
  6. Step 6: Final answer
    x = 7,846.84

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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.