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Finding the Fourth Proportional to 9,723, 14,586.84 and 2,797.44

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Solution

The fourth proportional to 9,723, 14,586.84 and 2,797.44 is: 4,196.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,723 : 14,586.84 = 2,797.44 : x
  2. Step 2: Convert to fraction form
    9,723/14,586.84 = 2,797.44/x
  3. Step 3: Cross multiply
    9,723x = 14,586.84 × 2,797.44
  4. Step 4: Simplify right side
    9,723x = 40,805,809.69
  5. Step 5: Solve for x
    x = 40,805,809.69/9,723
  6. Step 6: Final answer
    x = 4,196.83

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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.