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Finding the Fourth Proportional to 6,096.90, 9,149.40 and 3,464.40

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Solution

The fourth proportional to 6,096.90, 9,149.40 and 3,464.40 is: 5,198.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,096.90 : 9,149.40 = 3,464.40 : x
  2. Step 2: Convert to fraction form
    6,096.90/9,149.40 = 3,464.40/x
  3. Step 3: Cross multiply
    6,096.90x = 9,149.40 × 3,464.40
  4. Step 4: Simplify right side
    6,096.90x = 31,697,181.36
  5. Step 5: Solve for x
    x = 31,697,181.36/6,096.90
  6. Step 6: Final answer
    x = 5,198.90

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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.