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Finding the Fourth Proportional to 9,396.44, 12,967.38 and 5,205.08

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Solution

The fourth proportional to 9,396.44, 12,967.38 and 5,205.08 is: 7,183.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,396.44 : 12,967.38 = 5,205.08 : x
  2. Step 2: Convert to fraction form
    9,396.44/12,967.38 = 5,205.08/x
  3. Step 3: Cross multiply
    9,396.44x = 12,967.38 × 5,205.08
  4. Step 4: Simplify right side
    9,396.44x = 67,496,250.29
  5. Step 5: Solve for x
    x = 67,496,250.29/9,396.44
  6. Step 6: Final answer
    x = 7,183.17

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.