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Finding the Fourth Proportional to 9,769.40, 14,657.70 and 3,930.20

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Solution

The fourth proportional to 9,769.40, 14,657.70 and 3,930.20 is: 5,896.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,769.40 : 14,657.70 = 3,930.20 : x
  2. Step 2: Convert to fraction form
    9,769.40/14,657.70 = 3,930.20/x
  3. Step 3: Cross multiply
    9,769.40x = 14,657.70 × 3,930.20
  4. Step 4: Simplify right side
    9,769.40x = 57,607,692.54
  5. Step 5: Solve for x
    x = 57,607,692.54/9,769.40
  6. Step 6: Final answer
    x = 5,896.75

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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.