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Finding the Fourth Proportional to 6,411.56, 8,847.02 and 3,893.77

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Solution

The fourth proportional to 6,411.56, 8,847.02 and 3,893.77 is: 5,372.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,411.56 : 8,847.02 = 3,893.77 : x
  2. Step 2: Convert to fraction form
    6,411.56/8,847.02 = 3,893.77/x
  3. Step 3: Cross multiply
    6,411.56x = 8,847.02 × 3,893.77
  4. Step 4: Simplify right side
    6,411.56x = 34,448,281.86
  5. Step 5: Solve for x
    x = 34,448,281.86/6,411.56
  6. Step 6: Final answer
    x = 5,372.84

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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.