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Finding the Fourth Proportional to 8,274.60, 12,396.26 and 6,416.62

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Solution

The fourth proportional to 8,274.60, 12,396.26 and 6,416.62 is: 9,612.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,274.60 : 12,396.26 = 6,416.62 : x
  2. Step 2: Convert to fraction form
    8,274.60/12,396.26 = 6,416.62/x
  3. Step 3: Cross multiply
    8,274.60x = 12,396.26 × 6,416.62
  4. Step 4: Simplify right side
    8,274.60x = 79,542,074.89
  5. Step 5: Solve for x
    x = 79,542,074.89/8,274.60
  6. Step 6: Final answer
    x = 9,612.80

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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.