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Finding the Fourth Proportional to 9,805.16, 14,708.70 and 3,231.56

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Solution

The fourth proportional to 9,805.16, 14,708.70 and 3,231.56 is: 4,847.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.16 : 14,708.70 = 3,231.56 : x
  2. Step 2: Convert to fraction form
    9,805.16/14,708.70 = 3,231.56/x
  3. Step 3: Cross multiply
    9,805.16x = 14,708.70 × 3,231.56
  4. Step 4: Simplify right side
    9,805.16x = 47,532,046.57
  5. Step 5: Solve for x
    x = 47,532,046.57/9,805.16
  6. Step 6: Final answer
    x = 4,847.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.