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Finding the Fourth Proportional to 9,197.15, 12,692.70 and 5,219.24

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Solution

The fourth proportional to 9,197.15, 12,692.70 and 5,219.24 is: 7,202.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.15 : 12,692.70 = 5,219.24 : x
  2. Step 2: Convert to fraction form
    9,197.15/12,692.70 = 5,219.24/x
  3. Step 3: Cross multiply
    9,197.15x = 12,692.70 × 5,219.24
  4. Step 4: Simplify right side
    9,197.15x = 66,246,184.08
  5. Step 5: Solve for x
    x = 66,246,184.08/9,197.15
  6. Step 6: Final answer
    x = 7,202.91

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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.