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Finding the Fourth Proportional to 6,109.93, 9,148.49 and 3,182.09

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Solution

The fourth proportional to 6,109.93, 9,148.49 and 3,182.09 is: 4,764.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,109.93 : 9,148.49 = 3,182.09 : x
  2. Step 2: Convert to fraction form
    6,109.93/9,148.49 = 3,182.09/x
  3. Step 3: Cross multiply
    6,109.93x = 9,148.49 × 3,182.09
  4. Step 4: Simplify right side
    6,109.93x = 29,111,286.72
  5. Step 5: Solve for x
    x = 29,111,286.72/6,109.93
  6. Step 6: Final answer
    x = 4,764.58

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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.