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Finding the Fourth Proportional to 6,491.46, 9,735.12 and 2,107.86

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Solution

The fourth proportional to 6,491.46, 9,735.12 and 2,107.86 is: 3,161.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,491.46 : 9,735.12 = 2,107.86 : x
  2. Step 2: Convert to fraction form
    6,491.46/9,735.12 = 2,107.86/x
  3. Step 3: Cross multiply
    6,491.46x = 9,735.12 × 2,107.86
  4. Step 4: Simplify right side
    6,491.46x = 20,520,270.04
  5. Step 5: Solve for x
    x = 20,520,270.04/6,491.46
  6. Step 6: Final answer
    x = 3,161.12

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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.