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Finding the Fourth Proportional to 9,747, 14,622.02 and 3,171.63

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Solution

The fourth proportional to 9,747, 14,622.02 and 3,171.63 is: 4,757.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,747 : 14,622.02 = 3,171.63 : x
  2. Step 2: Convert to fraction form
    9,747/14,622.02 = 3,171.63/x
  3. Step 3: Cross multiply
    9,747x = 14,622.02 × 3,171.63
  4. Step 4: Simplify right side
    9,747x = 46,375,688.16
  5. Step 5: Solve for x
    x = 46,375,688.16/9,747
  6. Step 6: Final answer
    x = 4,757.94

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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.