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Finding the Fourth Proportional to 6,933.25, 9,567.34 and 3,948.49

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Solution

The fourth proportional to 6,933.25, 9,567.34 and 3,948.49 is: 5,448.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,933.25 : 9,567.34 = 3,948.49 : x
  2. Step 2: Convert to fraction form
    6,933.25/9,567.34 = 3,948.49/x
  3. Step 3: Cross multiply
    6,933.25x = 9,567.34 × 3,948.49
  4. Step 4: Simplify right side
    6,933.25x = 37,776,546.32
  5. Step 5: Solve for x
    x = 37,776,546.32/6,933.25
  6. Step 6: Final answer
    x = 5,448.61

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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.