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Finding the Fourth Proportional to 8,234.45, 12,338.73 and 6,364.91

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Solution

The fourth proportional to 8,234.45, 12,338.73 and 6,364.91 is: 9,537.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,234.45 : 12,338.73 = 6,364.91 : x
  2. Step 2: Convert to fraction form
    8,234.45/12,338.73 = 6,364.91/x
  3. Step 3: Cross multiply
    8,234.45x = 12,338.73 × 6,364.91
  4. Step 4: Simplify right side
    8,234.45x = 78,534,959.95
  5. Step 5: Solve for x
    x = 78,534,959.95/8,234.45
  6. Step 6: Final answer
    x = 9,537.37

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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.