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Finding the Fourth Proportional to 9,805.26, 13,527.68 and 6,449.88

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Solution

The fourth proportional to 9,805.26, 13,527.68 and 6,449.88 is: 8,898.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.26 : 13,527.68 = 6,449.88 : x
  2. Step 2: Convert to fraction form
    9,805.26/13,527.68 = 6,449.88/x
  3. Step 3: Cross multiply
    9,805.26x = 13,527.68 × 6,449.88
  4. Step 4: Simplify right side
    9,805.26x = 87,251,912.68
  5. Step 5: Solve for x
    x = 87,251,912.68/9,805.26
  6. Step 6: Final answer
    x = 8,898.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.