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Finding the Fourth Proportional to 6,780.42, 9,357.03 and 3,796.29

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Solution

The fourth proportional to 6,780.42, 9,357.03 and 3,796.29 is: 5,238.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,780.42 : 9,357.03 = 3,796.29 : x
  2. Step 2: Convert to fraction form
    6,780.42/9,357.03 = 3,796.29/x
  3. Step 3: Cross multiply
    6,780.42x = 9,357.03 × 3,796.29
  4. Step 4: Simplify right side
    6,780.42x = 35,521,999.42
  5. Step 5: Solve for x
    x = 35,521,999.42/6,780.42
  6. Step 6: Final answer
    x = 5,238.91

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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.