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Finding the Fourth Proportional to 9,806.70, 14,710.02 and 3,963.24

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Solution

The fourth proportional to 9,806.70, 14,710.02 and 3,963.24 is: 5,944.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.70 : 14,710.02 = 3,963.24 : x
  2. Step 2: Convert to fraction form
    9,806.70/14,710.02 = 3,963.24/x
  3. Step 3: Cross multiply
    9,806.70x = 14,710.02 × 3,963.24
  4. Step 4: Simplify right side
    9,806.70x = 58,299,339.66
  5. Step 5: Solve for x
    x = 58,299,339.66/9,806.70
  6. Step 6: Final answer
    x = 5,944.85

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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.