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Finding the Fourth Proportional to 8,443.74, 12,667.49 and 2,896.97

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Solution

The fourth proportional to 8,443.74, 12,667.49 and 2,896.97 is: 4,346.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,443.74 : 12,667.49 = 2,896.97 : x
  2. Step 2: Convert to fraction form
    8,443.74/12,667.49 = 2,896.97/x
  3. Step 3: Cross multiply
    8,443.74x = 12,667.49 × 2,896.97
  4. Step 4: Simplify right side
    8,443.74x = 36,697,271.55
  5. Step 5: Solve for x
    x = 36,697,271.55/8,443.74
  6. Step 6: Final answer
    x = 4,346.09

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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.