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Finding the Fourth Proportional to 9,804.69, 14,708.86 and 3,231.34

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Solution

The fourth proportional to 9,804.69, 14,708.86 and 3,231.34 is: 4,847.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,804.69 : 14,708.86 = 3,231.34 : x
  2. Step 2: Convert to fraction form
    9,804.69/14,708.86 = 3,231.34/x
  3. Step 3: Cross multiply
    9,804.69x = 14,708.86 × 3,231.34
  4. Step 4: Simplify right side
    9,804.69x = 47,529,282.82
  5. Step 5: Solve for x
    x = 47,529,282.82/9,804.69
  6. Step 6: Final answer
    x = 4,847.61

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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.