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Finding the Fourth Proportional to 9,190.36, 12,678.18 and 6,002.20

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Solution

The fourth proportional to 9,190.36, 12,678.18 and 6,002.20 is: 8,280.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,190.36 : 12,678.18 = 6,002.20 : x
  2. Step 2: Convert to fraction form
    9,190.36/12,678.18 = 6,002.20/x
  3. Step 3: Cross multiply
    9,190.36x = 12,678.18 × 6,002.20
  4. Step 4: Simplify right side
    9,190.36x = 76,096,972.00
  5. Step 5: Solve for x
    x = 76,096,972.00/9,190.36
  6. Step 6: Final answer
    x = 8,280.09

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.