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Finding the Fourth Proportional to 6,003.12, 9,007.20 and 2,884.80

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Solution

The fourth proportional to 6,003.12, 9,007.20 and 2,884.80 is: 4,328.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,003.12 : 9,007.20 = 2,884.80 : x
  2. Step 2: Convert to fraction form
    6,003.12/9,007.20 = 2,884.80/x
  3. Step 3: Cross multiply
    6,003.12x = 9,007.20 × 2,884.80
  4. Step 4: Simplify right side
    6,003.12x = 25,983,970.56
  5. Step 5: Solve for x
    x = 25,983,970.56/6,003.12
  6. Step 6: Final answer
    x = 4,328.41

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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.