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Finding the Fourth Proportional to 5,967.14, 8,234.43 and 3,314.54

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Solution

The fourth proportional to 5,967.14, 8,234.43 and 3,314.54 is: 4,573.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,967.14 : 8,234.43 = 3,314.54 : x
  2. Step 2: Convert to fraction form
    5,967.14/8,234.43 = 3,314.54/x
  3. Step 3: Cross multiply
    5,967.14x = 8,234.43 × 3,314.54
  4. Step 4: Simplify right side
    5,967.14x = 27,293,347.61
  5. Step 5: Solve for x
    x = 27,293,347.61/5,967.14
  6. Step 6: Final answer
    x = 4,573.94

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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.