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Finding the Fourth Proportional to 8,794.50, 12,136.42 and 6,000

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Solution

The fourth proportional to 8,794.50, 12,136.42 and 6,000 is: 8,280.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,794.50 : 12,136.42 = 6,000 : x
  2. Step 2: Convert to fraction form
    8,794.50/12,136.42 = 6,000/x
  3. Step 3: Cross multiply
    8,794.50x = 12,136.42 × 6,000
  4. Step 4: Simplify right side
    8,794.50x = 72,818,520
  5. Step 5: Solve for x
    x = 72,818,520/8,794.50
  6. Step 6: Final answer
    x = 8,280.01

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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.