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Finding the Fourth Proportional to 8,123.34, 12,172.26 and 6,278.98

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Solution

The fourth proportional to 8,123.34, 12,172.26 and 6,278.98 is: 9,408.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.34 : 12,172.26 = 6,278.98 : x
  2. Step 2: Convert to fraction form
    8,123.34/12,172.26 = 6,278.98/x
  3. Step 3: Cross multiply
    8,123.34x = 12,172.26 × 6,278.98
  4. Step 4: Simplify right side
    8,123.34x = 76,429,377.09
  5. Step 5: Solve for x
    x = 76,429,377.09/8,123.34
  6. Step 6: Final answer
    x = 9,408.61

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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.