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Finding the Fourth Proportional to 6,311.69, 9,469.56 and 3,025.01

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Solution

The fourth proportional to 6,311.69, 9,469.56 and 3,025.01 is: 4,538.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,311.69 : 9,469.56 = 3,025.01 : x
  2. Step 2: Convert to fraction form
    6,311.69/9,469.56 = 3,025.01/x
  3. Step 3: Cross multiply
    6,311.69x = 9,469.56 × 3,025.01
  4. Step 4: Simplify right side
    6,311.69x = 28,645,466.35
  5. Step 5: Solve for x
    x = 28,645,466.35/6,311.69
  6. Step 6: Final answer
    x = 4,538.48

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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.