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Finding the Fourth Proportional to 6,842.88, 9,438.73 and 4,189.32

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Solution

The fourth proportional to 6,842.88, 9,438.73 and 4,189.32 is: 5,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,842.88 : 9,438.73 = 4,189.32 : x
  2. Step 2: Convert to fraction form
    6,842.88/9,438.73 = 4,189.32/x
  3. Step 3: Cross multiply
    6,842.88x = 9,438.73 × 4,189.32
  4. Step 4: Simplify right side
    6,842.88x = 39,541,849.89
  5. Step 5: Solve for x
    x = 39,541,849.89/6,842.88
  6. Step 6: Final answer
    x = 5,778.54

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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.