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Finding the Fourth Proportional to 6,002.40, 9,003.60 and 3,812.70

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Solution

The fourth proportional to 6,002.40, 9,003.60 and 3,812.70 is: 5,719.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.40 : 9,003.60 = 3,812.70 : x
  2. Step 2: Convert to fraction form
    6,002.40/9,003.60 = 3,812.70/x
  3. Step 3: Cross multiply
    6,002.40x = 9,003.60 × 3,812.70
  4. Step 4: Simplify right side
    6,002.40x = 34,328,025.72
  5. Step 5: Solve for x
    x = 34,328,025.72/6,002.40
  6. Step 6: Final answer
    x = 5,719.05

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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.