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Finding the Fourth Proportional to 9,806.76, 14,713.02 and 3,967.56

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Solution

The fourth proportional to 9,806.76, 14,713.02 and 3,967.56 is: 5,952.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.76 : 14,713.02 = 3,967.56 : x
  2. Step 2: Convert to fraction form
    9,806.76/14,713.02 = 3,967.56/x
  3. Step 3: Cross multiply
    9,806.76x = 14,713.02 × 3,967.56
  4. Step 4: Simplify right side
    9,806.76x = 58,374,789.63
  5. Step 5: Solve for x
    x = 58,374,789.63/9,806.76
  6. Step 6: Final answer
    x = 5,952.51

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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.