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Finding the Fourth Proportional to 8,145.14, 12,219.62 and 6,485.54

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Solution

The fourth proportional to 8,145.14, 12,219.62 and 6,485.54 is: 9,729.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,145.14 : 12,219.62 = 6,485.54 : x
  2. Step 2: Convert to fraction form
    8,145.14/12,219.62 = 6,485.54/x
  3. Step 3: Cross multiply
    8,145.14x = 12,219.62 × 6,485.54
  4. Step 4: Simplify right side
    8,145.14x = 79,250,834.29
  5. Step 5: Solve for x
    x = 79,250,834.29/8,145.14
  6. Step 6: Final answer
    x = 9,729.83

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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.