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Finding the Fourth Proportional to 6,416.96, 8,855.40 and 3,622.46

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Solution

The fourth proportional to 6,416.96, 8,855.40 and 3,622.46 is: 4,998.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,416.96 : 8,855.40 = 3,622.46 : x
  2. Step 2: Convert to fraction form
    6,416.96/8,855.40 = 3,622.46/x
  3. Step 3: Cross multiply
    6,416.96x = 8,855.40 × 3,622.46
  4. Step 4: Simplify right side
    6,416.96x = 32,078,288.01
  5. Step 5: Solve for x
    x = 32,078,288.01/6,416.96
  6. Step 6: Final answer
    x = 4,998.99

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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.