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Finding the Fourth Proportional to 6,491.11, 9,739.36 and 3,112.20

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Solution

The fourth proportional to 6,491.11, 9,739.36 and 3,112.20 is: 4,669.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.11 : 9,739.36 = 3,112.20 : x
  2. Step 2: Convert to fraction form
    6,491.11/9,739.36 = 3,112.20/x
  3. Step 3: Cross multiply
    6,491.11x = 9,739.36 × 3,112.20
  4. Step 4: Simplify right side
    6,491.11x = 30,310,771.93
  5. Step 5: Solve for x
    x = 30,310,771.93/6,491.11
  6. Step 6: Final answer
    x = 4,669.58

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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.