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Finding the Fourth Proportional to 8,274.84, 12,416.31 and 6,093.32

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Solution

The fourth proportional to 8,274.84, 12,416.31 and 6,093.32 is: 9,142.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.84 : 12,416.31 = 6,093.32 : x
  2. Step 2: Convert to fraction form
    8,274.84/12,416.31 = 6,093.32/x
  3. Step 3: Cross multiply
    8,274.84x = 12,416.31 × 6,093.32
  4. Step 4: Simplify right side
    8,274.84x = 75,656,487.97
  5. Step 5: Solve for x
    x = 75,656,487.97/8,274.84
  6. Step 6: Final answer
    x = 9,142.95

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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.