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Finding the Fourth Proportional to 8,193.42, 12,263.40 and 6,234.84

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Solution

The fourth proportional to 8,193.42, 12,263.40 and 6,234.84 is: 9,331.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,193.42 : 12,263.40 = 6,234.84 : x
  2. Step 2: Convert to fraction form
    8,193.42/12,263.40 = 6,234.84/x
  3. Step 3: Cross multiply
    8,193.42x = 12,263.40 × 6,234.84
  4. Step 4: Simplify right side
    8,193.42x = 76,460,336.86
  5. Step 5: Solve for x
    x = 76,460,336.86/8,193.42
  6. Step 6: Final answer
    x = 9,331.92

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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.