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Finding the Fourth Proportional to 6,188.97, 9,274.74 and 3,416.94

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Solution

The fourth proportional to 6,188.97, 9,274.74 and 3,416.94 is: 5,120.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,188.97 : 9,274.74 = 3,416.94 : x
  2. Step 2: Convert to fraction form
    6,188.97/9,274.74 = 3,416.94/x
  3. Step 3: Cross multiply
    6,188.97x = 9,274.74 × 3,416.94
  4. Step 4: Simplify right side
    6,188.97x = 31,691,230.10
  5. Step 5: Solve for x
    x = 31,691,230.10/6,188.97
  6. Step 6: Final answer
    x = 5,120.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.