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Finding the Fourth Proportional to 9,197.94, 12,692.62 and 5,006.18

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Solution

The fourth proportional to 9,197.94, 12,692.62 and 5,006.18 is: 6,908.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,197.94 : 12,692.62 = 5,006.18 : x
  2. Step 2: Convert to fraction form
    9,197.94/12,692.62 = 5,006.18/x
  3. Step 3: Cross multiply
    9,197.94x = 12,692.62 × 5,006.18
  4. Step 4: Simplify right side
    9,197.94x = 63,541,540.39
  5. Step 5: Solve for x
    x = 63,541,540.39/9,197.94
  6. Step 6: Final answer
    x = 6,908.24

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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.