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Finding the Fourth Proportional to 9,076.68, 13,611.30 and 2,834.60

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Solution

The fourth proportional to 9,076.68, 13,611.30 and 2,834.60 is: 4,250.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,076.68 : 13,611.30 = 2,834.60 : x
  2. Step 2: Convert to fraction form
    9,076.68/13,611.30 = 2,834.60/x
  3. Step 3: Cross multiply
    9,076.68x = 13,611.30 × 2,834.60
  4. Step 4: Simplify right side
    9,076.68x = 38,582,590.98
  5. Step 5: Solve for x
    x = 38,582,590.98/9,076.68
  6. Step 6: Final answer
    x = 4,250.74

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.