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Finding the Fourth Proportional to 6,416.22, 8,855.12 and 3,621.50

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Solution

The fourth proportional to 6,416.22, 8,855.12 and 3,621.50 is: 4,998.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.22 : 8,855.12 = 3,621.50 : x
  2. Step 2: Convert to fraction form
    6,416.22/8,855.12 = 3,621.50/x
  3. Step 3: Cross multiply
    6,416.22x = 8,855.12 × 3,621.50
  4. Step 4: Simplify right side
    6,416.22x = 32,068,817.08
  5. Step 5: Solve for x
    x = 32,068,817.08/6,416.22
  6. Step 6: Final answer
    x = 4,998.09

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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.