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Finding the Fourth Proportional to 6,002.18, 9,003.27 and 4,974.02

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Solution

The fourth proportional to 6,002.18, 9,003.27 and 4,974.02 is: 7,461.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,002.18 : 9,003.27 = 4,974.02 : x
  2. Step 2: Convert to fraction form
    6,002.18/9,003.27 = 4,974.02/x
  3. Step 3: Cross multiply
    6,002.18x = 9,003.27 × 4,974.02
  4. Step 4: Simplify right side
    6,002.18x = 44,782,445.05
  5. Step 5: Solve for x
    x = 44,782,445.05/6,002.18
  6. Step 6: Final answer
    x = 7,461.03

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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.