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Finding the Fourth Proportional to 9,511.85, 14,265.05 and 3,667.11

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Solution

The fourth proportional to 9,511.85, 14,265.05 and 3,667.11 is: 5,499.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,511.85 : 14,265.05 = 3,667.11 : x
  2. Step 2: Convert to fraction form
    9,511.85/14,265.05 = 3,667.11/x
  3. Step 3: Cross multiply
    9,511.85x = 14,265.05 × 3,667.11
  4. Step 4: Simplify right side
    9,511.85x = 52,311,489.17
  5. Step 5: Solve for x
    x = 52,311,489.17/9,511.85
  6. Step 6: Final answer
    x = 5,499.62

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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.