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Finding the Fourth Proportional to 9,708.44, 13,394.46 and 5,930.24

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Solution

The fourth proportional to 9,708.44, 13,394.46 and 5,930.24 is: 8,181.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,708.44 : 13,394.46 = 5,930.24 : x
  2. Step 2: Convert to fraction form
    9,708.44/13,394.46 = 5,930.24/x
  3. Step 3: Cross multiply
    9,708.44x = 13,394.46 × 5,930.24
  4. Step 4: Simplify right side
    9,708.44x = 79,432,362.47
  5. Step 5: Solve for x
    x = 79,432,362.47/9,708.44
  6. Step 6: Final answer
    x = 8,181.78

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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.