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Finding the Fourth Proportional to 8,667.35, 13,000.35 and 8,433.62

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Solution

The fourth proportional to 8,667.35, 13,000.35 and 8,433.62 is: 12,649.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,667.35 : 13,000.35 = 8,433.62 : x
  2. Step 2: Convert to fraction form
    8,667.35/13,000.35 = 8,433.62/x
  3. Step 3: Cross multiply
    8,667.35x = 13,000.35 × 8,433.62
  4. Step 4: Simplify right side
    8,667.35x = 109,639,979.70
  5. Step 5: Solve for x
    x = 109,639,979.70/8,667.35
  6. Step 6: Final answer
    x = 12,649.76

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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.