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Finding the Fourth Proportional to 6,965.51, 9,612.42 and 3,983.09

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Solution

The fourth proportional to 6,965.51, 9,612.42 and 3,983.09 is: 5,496.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,965.51 : 9,612.42 = 3,983.09 : x
  2. Step 2: Convert to fraction form
    6,965.51/9,612.42 = 3,983.09/x
  3. Step 3: Cross multiply
    6,965.51x = 9,612.42 × 3,983.09
  4. Step 4: Simplify right side
    6,965.51x = 38,287,147.45
  5. Step 5: Solve for x
    x = 38,287,147.45/6,965.51
  6. Step 6: Final answer
    x = 5,496.67

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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.