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Finding the Fourth Proportional to 8,009.42, 12,014.13 and 3,078.14

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Solution

The fourth proportional to 8,009.42, 12,014.13 and 3,078.14 is: 4,617.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,009.42 : 12,014.13 = 3,078.14 : x
  2. Step 2: Convert to fraction form
    8,009.42/12,014.13 = 3,078.14/x
  3. Step 3: Cross multiply
    8,009.42x = 12,014.13 × 3,078.14
  4. Step 4: Simplify right side
    8,009.42x = 36,981,174.12
  5. Step 5: Solve for x
    x = 36,981,174.12/8,009.42
  6. Step 6: Final answer
    x = 4,617.21

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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.