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Finding the Fourth Proportional to 9,197.73, 12,692.84 and 5,218.88

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Solution

The fourth proportional to 9,197.73, 12,692.84 and 5,218.88 is: 7,202.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.73 : 12,692.84 = 5,218.88 : x
  2. Step 2: Convert to fraction form
    9,197.73/12,692.84 = 5,218.88/x
  3. Step 3: Cross multiply
    9,197.73x = 12,692.84 × 5,218.88
  4. Step 4: Simplify right side
    9,197.73x = 66,242,319.26
  5. Step 5: Solve for x
    x = 66,242,319.26/9,197.73
  6. Step 6: Final answer
    x = 7,202.03

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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.