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Finding the Fourth Proportional to 6,411.42, 8,847.69 and 3,616.86

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Solution

The fourth proportional to 6,411.42, 8,847.69 and 3,616.86 is: 4,991.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.42 : 8,847.69 = 3,616.86 : x
  2. Step 2: Convert to fraction form
    6,411.42/8,847.69 = 3,616.86/x
  3. Step 3: Cross multiply
    6,411.42x = 8,847.69 × 3,616.86
  4. Step 4: Simplify right side
    6,411.42x = 32,000,856.05
  5. Step 5: Solve for x
    x = 32,000,856.05/6,411.42
  6. Step 6: Final answer
    x = 4,991.23

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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.