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Finding the Fourth Proportional to 9,857.80, 14,769.99 and 5,954

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Solution

The fourth proportional to 9,857.80, 14,769.99 and 5,954 is: 8,920.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,857.80 : 14,769.99 = 5,954 : x
  2. Step 2: Convert to fraction form
    9,857.80/14,769.99 = 5,954/x
  3. Step 3: Cross multiply
    9,857.80x = 14,769.99 × 5,954
  4. Step 4: Simplify right side
    9,857.80x = 87,940,490.69
  5. Step 5: Solve for x
    x = 87,940,490.69/9,857.80
  6. Step 6: Final answer
    x = 8,920.91

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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.