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Finding the Fourth Proportional to 9,855.92, 14,786.34 and 2,930.42

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Solution

The fourth proportional to 9,855.92, 14,786.34 and 2,930.42 is: 4,396.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,855.92 : 14,786.34 = 2,930.42 : x
  2. Step 2: Convert to fraction form
    9,855.92/14,786.34 = 2,930.42/x
  3. Step 3: Cross multiply
    9,855.92x = 14,786.34 × 2,930.42
  4. Step 4: Simplify right side
    9,855.92x = 43,330,186.46
  5. Step 5: Solve for x
    x = 43,330,186.46/9,855.92
  6. Step 6: Final answer
    x = 4,396.36

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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.