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Finding the Fourth Proportional to 8,200.58, 12,306.33 and 6,122.93

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Solution

The fourth proportional to 8,200.58, 12,306.33 and 6,122.93 is: 9,188.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.58 : 12,306.33 = 6,122.93 : x
  2. Step 2: Convert to fraction form
    8,200.58/12,306.33 = 6,122.93/x
  3. Step 3: Cross multiply
    8,200.58x = 12,306.33 × 6,122.93
  4. Step 4: Simplify right side
    8,200.58x = 75,350,735.62
  5. Step 5: Solve for x
    x = 75,350,735.62/8,200.58
  6. Step 6: Final answer
    x = 9,188.47

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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.