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Finding the Fourth Proportional to 9,873, 14,817.33 and 5,195.73

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Solution

The fourth proportional to 9,873, 14,817.33 and 5,195.73 is: 7,797.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,873 : 14,817.33 = 5,195.73 : x
  2. Step 2: Convert to fraction form
    9,873/14,817.33 = 5,195.73/x
  3. Step 3: Cross multiply
    9,873x = 14,817.33 × 5,195.73
  4. Step 4: Simplify right side
    9,873x = 76,986,846.00
  5. Step 5: Solve for x
    x = 76,986,846.00/9,873
  6. Step 6: Final answer
    x = 7,797.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.