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Finding the Fourth Proportional to 9,396.08, 12,966 and 5,204

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Solution

The fourth proportional to 9,396.08, 12,966 and 5,204 is: 7,181.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.08 : 12,966 = 5,204 : x
  2. Step 2: Convert to fraction form
    9,396.08/12,966 = 5,204/x
  3. Step 3: Cross multiply
    9,396.08x = 12,966 × 5,204
  4. Step 4: Simplify right side
    9,396.08x = 67,475,064
  5. Step 5: Solve for x
    x = 67,475,064/9,396.08
  6. Step 6: Final answer
    x = 7,181.19

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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.