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Finding the Fourth Proportional to 9,308.93, 12,844.17 and 5,770.44

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Solution

The fourth proportional to 9,308.93, 12,844.17 and 5,770.44 is: 7,961.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.93 : 12,844.17 = 5,770.44 : x
  2. Step 2: Convert to fraction form
    9,308.93/12,844.17 = 5,770.44/x
  3. Step 3: Cross multiply
    9,308.93x = 12,844.17 × 5,770.44
  4. Step 4: Simplify right side
    9,308.93x = 74,116,512.33
  5. Step 5: Solve for x
    x = 74,116,512.33/9,308.93
  6. Step 6: Final answer
    x = 7,961.88

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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.