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Finding the Fourth Proportional to 8,834.56, 12,189.18 and 6,146.80

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Solution

The fourth proportional to 8,834.56, 12,189.18 and 6,146.80 is: 8,480.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,834.56 : 12,189.18 = 6,146.80 : x
  2. Step 2: Convert to fraction form
    8,834.56/12,189.18 = 6,146.80/x
  3. Step 3: Cross multiply
    8,834.56x = 12,189.18 × 6,146.80
  4. Step 4: Simplify right side
    8,834.56x = 74,924,451.62
  5. Step 5: Solve for x
    x = 74,924,451.62/8,834.56
  6. Step 6: Final answer
    x = 8,480.84

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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.