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Finding the Fourth Proportional to 9,388.26, 12,966.44 and 6,398.96

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Solution

The fourth proportional to 9,388.26, 12,966.44 and 6,398.96 is: 8,837.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,388.26 : 12,966.44 = 6,398.96 : x
  2. Step 2: Convert to fraction form
    9,388.26/12,966.44 = 6,398.96/x
  3. Step 3: Cross multiply
    9,388.26x = 12,966.44 × 6,398.96
  4. Step 4: Simplify right side
    9,388.26x = 82,971,634.08
  5. Step 5: Solve for x
    x = 82,971,634.08/9,388.26
  6. Step 6: Final answer
    x = 8,837.81

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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.