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Finding the Fourth Proportional to 9,024.86, 12,431.18 and 6,367.61

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Solution

The fourth proportional to 9,024.86, 12,431.18 and 6,367.61 is: 8,770.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,024.86 : 12,431.18 = 6,367.61 : x
  2. Step 2: Convert to fraction form
    9,024.86/12,431.18 = 6,367.61/x
  3. Step 3: Cross multiply
    9,024.86x = 12,431.18 × 6,367.61
  4. Step 4: Simplify right side
    9,024.86x = 79,156,874.24
  5. Step 5: Solve for x
    x = 79,156,874.24/9,024.86
  6. Step 6: Final answer
    x = 8,770.98

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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.