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Finding the Fourth Proportional to 9,805.07, 14,709.42 and 3,231.51

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Solution

The fourth proportional to 9,805.07, 14,709.42 and 3,231.51 is: 4,847.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.07 : 14,709.42 = 3,231.51 : x
  2. Step 2: Convert to fraction form
    9,805.07/14,709.42 = 3,231.51/x
  3. Step 3: Cross multiply
    9,805.07x = 14,709.42 × 3,231.51
  4. Step 4: Simplify right side
    9,805.07x = 47,533,637.82
  5. Step 5: Solve for x
    x = 47,533,637.82/9,805.07
  6. Step 6: Final answer
    x = 4,847.87

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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.