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Finding the Fourth Proportional to 8,289.14, 12,437.01 and 3,906.90

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Solution

The fourth proportional to 8,289.14, 12,437.01 and 3,906.90 is: 5,861.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.14 : 12,437.01 = 3,906.90 : x
  2. Step 2: Convert to fraction form
    8,289.14/12,437.01 = 3,906.90/x
  3. Step 3: Cross multiply
    8,289.14x = 12,437.01 × 3,906.90
  4. Step 4: Simplify right side
    8,289.14x = 48,590,154.37
  5. Step 5: Solve for x
    x = 48,590,154.37/8,289.14
  6. Step 6: Final answer
    x = 5,861.91

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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.