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Finding the Fourth Proportional to 6,280.34, 9,408.35 and 3,354.62

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Solution

The fourth proportional to 6,280.34, 9,408.35 and 3,354.62 is: 5,025.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.34 : 9,408.35 = 3,354.62 : x
  2. Step 2: Convert to fraction form
    6,280.34/9,408.35 = 3,354.62/x
  3. Step 3: Cross multiply
    6,280.34x = 9,408.35 × 3,354.62
  4. Step 4: Simplify right side
    6,280.34x = 31,561,400.42
  5. Step 5: Solve for x
    x = 31,561,400.42/6,280.34
  6. Step 6: Final answer
    x = 5,025.43

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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.