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Finding the Fourth Proportional to 9,859.50, 14,786.04 and 3,283.92

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Solution

The fourth proportional to 9,859.50, 14,786.04 and 3,283.92 is: 4,924.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.50 : 14,786.04 = 3,283.92 : x
  2. Step 2: Convert to fraction form
    9,859.50/14,786.04 = 3,283.92/x
  3. Step 3: Cross multiply
    9,859.50x = 14,786.04 × 3,283.92
  4. Step 4: Simplify right side
    9,859.50x = 48,556,172.48
  5. Step 5: Solve for x
    x = 48,556,172.48/9,859.50
  6. Step 6: Final answer
    x = 4,924.81

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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.