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Finding the Fourth Proportional to 9,859.84, 14,791.44 and 3,287.68

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Solution

The fourth proportional to 9,859.84, 14,791.44 and 3,287.68 is: 4,932.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,859.84 : 14,791.44 = 3,287.68 : x
  2. Step 2: Convert to fraction form
    9,859.84/14,791.44 = 3,287.68/x
  3. Step 3: Cross multiply
    9,859.84x = 14,791.44 × 3,287.68
  4. Step 4: Simplify right side
    9,859.84x = 48,629,521.46
  5. Step 5: Solve for x
    x = 48,629,521.46/9,859.84
  6. Step 6: Final answer
    x = 4,932.08

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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.