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Finding the Fourth Proportional to 9,266.86, 13,902.44 and 2,692.83

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Solution

The fourth proportional to 9,266.86, 13,902.44 and 2,692.83 is: 4,039.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,266.86 : 13,902.44 = 2,692.83 : x
  2. Step 2: Convert to fraction form
    9,266.86/13,902.44 = 2,692.83/x
  3. Step 3: Cross multiply
    9,266.86x = 13,902.44 × 2,692.83
  4. Step 4: Simplify right side
    9,266.86x = 37,436,907.51
  5. Step 5: Solve for x
    x = 37,436,907.51/9,266.86
  6. Step 6: Final answer
    x = 4,039.87

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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.