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Finding the Fourth Proportional to 6,089.58, 9,131.94 and 3,912.30

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Solution

The fourth proportional to 6,089.58, 9,131.94 and 3,912.30 is: 5,866.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,089.58 : 9,131.94 = 3,912.30 : x
  2. Step 2: Convert to fraction form
    6,089.58/9,131.94 = 3,912.30/x
  3. Step 3: Cross multiply
    6,089.58x = 9,131.94 × 3,912.30
  4. Step 4: Simplify right side
    6,089.58x = 35,726,888.86
  5. Step 5: Solve for x
    x = 35,726,888.86/6,089.58
  6. Step 6: Final answer
    x = 5,866.89

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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.