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Finding the Fourth Proportional to 34,806.36, 52,212.30 and 9,846

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Solution

The fourth proportional to 34,806.36, 52,212.30 and 9,846 is: 14,769.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    34,806.36 : 52,212.30 = 9,846 : x
  2. Step 2: Convert to fraction form
    34,806.36/52,212.30 = 9,846/x
  3. Step 3: Cross multiply
    34,806.36x = 52,212.30 × 9,846
  4. Step 4: Simplify right side
    34,806.36x = 514,082,305.80
  5. Step 5: Solve for x
    x = 514,082,305.80/34,806.36
  6. Step 6: Final answer
    x = 14,769.78

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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.