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Finding the Fourth Proportional to 9,893.85, 14,843.05 and 2,873.98

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Solution

The fourth proportional to 9,893.85, 14,843.05 and 2,873.98 is: 4,311.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,893.85 : 14,843.05 = 2,873.98 : x
  2. Step 2: Convert to fraction form
    9,893.85/14,843.05 = 2,873.98/x
  3. Step 3: Cross multiply
    9,893.85x = 14,843.05 × 2,873.98
  4. Step 4: Simplify right side
    9,893.85x = 42,658,640.21
  5. Step 5: Solve for x
    x = 42,658,640.21/9,893.85
  6. Step 6: Final answer
    x = 4,311.63

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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.