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Finding the Fourth Proportional to 9,046.62, 12,485.03 and 5,692.31

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Solution

The fourth proportional to 9,046.62, 12,485.03 and 5,692.31 is: 7,855.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,046.62 : 12,485.03 = 5,692.31 : x
  2. Step 2: Convert to fraction form
    9,046.62/12,485.03 = 5,692.31/x
  3. Step 3: Cross multiply
    9,046.62x = 12,485.03 × 5,692.31
  4. Step 4: Simplify right side
    9,046.62x = 71,068,706.56
  5. Step 5: Solve for x
    x = 71,068,706.56/9,046.62
  6. Step 6: Final answer
    x = 7,855.83

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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.