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Finding the Fourth Proportional to 8,774.12, 13,164.84 and 3,847.30

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Solution

The fourth proportional to 8,774.12, 13,164.84 and 3,847.30 is: 5,772.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,774.12 : 13,164.84 = 3,847.30 : x
  2. Step 2: Convert to fraction form
    8,774.12/13,164.84 = 3,847.30/x
  3. Step 3: Cross multiply
    8,774.12x = 13,164.84 × 3,847.30
  4. Step 4: Simplify right side
    8,774.12x = 50,649,056.02
  5. Step 5: Solve for x
    x = 50,649,056.02/8,774.12
  6. Step 6: Final answer
    x = 5,772.55

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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.