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Finding the Fourth Proportional to 9,681.50, 14,523.47 and 3,105.92

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Solution

The fourth proportional to 9,681.50, 14,523.47 and 3,105.92 is: 4,659.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,681.50 : 14,523.47 = 3,105.92 : x
  2. Step 2: Convert to fraction form
    9,681.50/14,523.47 = 3,105.92/x
  3. Step 3: Cross multiply
    9,681.50x = 14,523.47 × 3,105.92
  4. Step 4: Simplify right side
    9,681.50x = 45,108,768.37
  5. Step 5: Solve for x
    x = 45,108,768.37/9,681.50
  6. Step 6: Final answer
    x = 4,659.27

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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.