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Finding the Fourth Proportional to 9,679.86, 14,523.03 and 3,838.14

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Solution

The fourth proportional to 9,679.86, 14,523.03 and 3,838.14 is: 5,758.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,679.86 : 14,523.03 = 3,838.14 : x
  2. Step 2: Convert to fraction form
    9,679.86/14,523.03 = 3,838.14/x
  3. Step 3: Cross multiply
    9,679.86x = 14,523.03 × 3,838.14
  4. Step 4: Simplify right side
    9,679.86x = 55,741,422.36
  5. Step 5: Solve for x
    x = 55,741,422.36/9,679.86
  6. Step 6: Final answer
    x = 5,758.49

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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.