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Finding the Fourth Proportional to 8,123.10, 12,171.88 and 6,278.73

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Solution

The fourth proportional to 8,123.10, 12,171.88 and 6,278.73 is: 9,408.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,123.10 : 12,171.88 = 6,278.73 : x
  2. Step 2: Convert to fraction form
    8,123.10/12,171.88 = 6,278.73/x
  3. Step 3: Cross multiply
    8,123.10x = 12,171.88 × 6,278.73
  4. Step 4: Simplify right side
    8,123.10x = 76,423,948.11
  5. Step 5: Solve for x
    x = 76,423,948.11/8,123.10
  6. Step 6: Final answer
    x = 9,408.22

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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.