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Finding the Fourth Proportional to 9,902.43, 14,843.19 and 3,658.44

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Solution

The fourth proportional to 9,902.43, 14,843.19 and 3,658.44 is: 5,483.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,902.43 : 14,843.19 = 3,658.44 : x
  2. Step 2: Convert to fraction form
    9,902.43/14,843.19 = 3,658.44/x
  3. Step 3: Cross multiply
    9,902.43x = 14,843.19 × 3,658.44
  4. Step 4: Simplify right side
    9,902.43x = 54,302,933.74
  5. Step 5: Solve for x
    x = 54,302,933.74/9,902.43
  6. Step 6: Final answer
    x = 5,483.80

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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.