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Finding the Fourth Proportional to 9,806.02, 14,709 and 3,962.56

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Solution

The fourth proportional to 9,806.02, 14,709 and 3,962.56 is: 5,943.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.02 : 14,709 = 3,962.56 : x
  2. Step 2: Convert to fraction form
    9,806.02/14,709 = 3,962.56/x
  3. Step 3: Cross multiply
    9,806.02x = 14,709 × 3,962.56
  4. Step 4: Simplify right side
    9,806.02x = 58,285,295.04
  5. Step 5: Solve for x
    x = 58,285,295.04/9,806.02
  6. Step 6: Final answer
    x = 5,943.83

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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.