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Finding the Fourth Proportional to 9,679.78, 14,511.06 and 3,438.97

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Solution

The fourth proportional to 9,679.78, 14,511.06 and 3,438.97 is: 5,155.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.78 : 14,511.06 = 3,438.97 : x
  2. Step 2: Convert to fraction form
    9,679.78/14,511.06 = 3,438.97/x
  3. Step 3: Cross multiply
    9,679.78x = 14,511.06 × 3,438.97
  4. Step 4: Simplify right side
    9,679.78x = 49,903,063.73
  5. Step 5: Solve for x
    x = 49,903,063.73/9,679.78
  6. Step 6: Final answer
    x = 5,155.39

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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.