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Finding the Fourth Proportional to 9,797.44, 14,697.98 and 3,223.90

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Solution

The fourth proportional to 9,797.44, 14,697.98 and 3,223.90 is: 4,836.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.44 : 14,697.98 = 3,223.90 : x
  2. Step 2: Convert to fraction form
    9,797.44/14,697.98 = 3,223.90/x
  3. Step 3: Cross multiply
    9,797.44x = 14,697.98 × 3,223.90
  4. Step 4: Simplify right side
    9,797.44x = 47,384,817.72
  5. Step 5: Solve for x
    x = 47,384,817.72/9,797.44
  6. Step 6: Final answer
    x = 4,836.45

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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.