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Finding the Fourth Proportional to 9,197.29, 12,692.12 and 5,419.85

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Solution

The fourth proportional to 9,197.29, 12,692.12 and 5,419.85 is: 7,479.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.29 : 12,692.12 = 5,419.85 : x
  2. Step 2: Convert to fraction form
    9,197.29/12,692.12 = 5,419.85/x
  3. Step 3: Cross multiply
    9,197.29x = 12,692.12 × 5,419.85
  4. Step 4: Simplify right side
    9,197.29x = 68,789,391.21
  5. Step 5: Solve for x
    x = 68,789,391.21/9,197.29
  6. Step 6: Final answer
    x = 7,479.31

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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.