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Finding the Fourth Proportional to 6,254.40, 9,380.10 and 3,616.20

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Solution

The fourth proportional to 6,254.40, 9,380.10 and 3,616.20 is: 5,423.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,254.40 : 9,380.10 = 3,616.20 : x
  2. Step 2: Convert to fraction form
    6,254.40/9,380.10 = 3,616.20/x
  3. Step 3: Cross multiply
    6,254.40x = 9,380.10 × 3,616.20
  4. Step 4: Simplify right side
    6,254.40x = 33,920,317.62
  5. Step 5: Solve for x
    x = 33,920,317.62/6,254.40
  6. Step 6: Final answer
    x = 5,423.43

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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.