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Finding the Fourth Proportional to 8,266.73, 12,384.45 and 6,408.74

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Solution

The fourth proportional to 8,266.73, 12,384.45 and 6,408.74 is: 9,600.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,266.73 : 12,384.45 = 6,408.74 : x
  2. Step 2: Convert to fraction form
    8,266.73/12,384.45 = 6,408.74/x
  3. Step 3: Cross multiply
    8,266.73x = 12,384.45 × 6,408.74
  4. Step 4: Simplify right side
    8,266.73x = 79,368,751.05
  5. Step 5: Solve for x
    x = 79,368,751.05/8,266.73
  6. Step 6: Final answer
    x = 9,600.99

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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.