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Finding the Fourth Proportional to 9,208.80, 12,692.97 and 6,516.54

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Solution

The fourth proportional to 9,208.80, 12,692.97 and 6,516.54 is: 8,982.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,208.80 : 12,692.97 = 6,516.54 : x
  2. Step 2: Convert to fraction form
    9,208.80/12,692.97 = 6,516.54/x
  3. Step 3: Cross multiply
    9,208.80x = 12,692.97 × 6,516.54
  4. Step 4: Simplify right side
    9,208.80x = 82,714,246.72
  5. Step 5: Solve for x
    x = 82,714,246.72/9,208.80
  6. Step 6: Final answer
    x = 8,982.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.