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Finding the Fourth Proportional to 9,321.87, 12,868.38 and 6,136.84

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Solution

The fourth proportional to 9,321.87, 12,868.38 and 6,136.84 is: 8,471.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,321.87 : 12,868.38 = 6,136.84 : x
  2. Step 2: Convert to fraction form
    9,321.87/12,868.38 = 6,136.84/x
  3. Step 3: Cross multiply
    9,321.87x = 12,868.38 × 6,136.84
  4. Step 4: Simplify right side
    9,321.87x = 78,971,189.12
  5. Step 5: Solve for x
    x = 78,971,189.12/9,321.87
  6. Step 6: Final answer
    x = 8,471.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.