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Finding the Fourth Proportional to 6,490.02, 9,735.84 and 2,107.92

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Solution

The fourth proportional to 6,490.02, 9,735.84 and 2,107.92 is: 3,162.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,490.02 : 9,735.84 = 2,107.92 : x
  2. Step 2: Convert to fraction form
    6,490.02/9,735.84 = 2,107.92/x
  3. Step 3: Cross multiply
    6,490.02x = 9,735.84 × 2,107.92
  4. Step 4: Simplify right side
    6,490.02x = 20,522,371.85
  5. Step 5: Solve for x
    x = 20,522,371.85/6,490.02
  6. Step 6: Final answer
    x = 3,162.14

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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.