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Finding the Fourth Proportional to 6,002.40, 9,003.60 and 2,254.13

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Solution

The fourth proportional to 6,002.40, 9,003.60 and 2,254.13 is: 3,381.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.40 : 9,003.60 = 2,254.13 : x
  2. Step 2: Convert to fraction form
    6,002.40/9,003.60 = 2,254.13/x
  3. Step 3: Cross multiply
    6,002.40x = 9,003.60 × 2,254.13
  4. Step 4: Simplify right side
    6,002.40x = 20,295,239.85
  5. Step 5: Solve for x
    x = 20,295,239.85/6,002.40
  6. Step 6: Final answer
    x = 3,381.19

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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.