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Finding the Fourth Proportional to 9,894.98, 14,844.18 and 3,321.80

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Solution

The fourth proportional to 9,894.98, 14,844.18 and 3,321.80 is: 4,983.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,894.98 : 14,844.18 = 3,321.80 : x
  2. Step 2: Convert to fraction form
    9,894.98/14,844.18 = 3,321.80/x
  3. Step 3: Cross multiply
    9,894.98x = 14,844.18 × 3,321.80
  4. Step 4: Simplify right side
    9,894.98x = 49,309,397.12
  5. Step 5: Solve for x
    x = 49,309,397.12/9,894.98
  6. Step 6: Final answer
    x = 4,983.27

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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.