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Finding the Fourth Proportional to 6,122.97, 9,176.23 and 3,345.48

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Solution

The fourth proportional to 6,122.97, 9,176.23 and 3,345.48 is: 5,013.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,122.97 : 9,176.23 = 3,345.48 : x
  2. Step 2: Convert to fraction form
    6,122.97/9,176.23 = 3,345.48/x
  3. Step 3: Cross multiply
    6,122.97x = 9,176.23 × 3,345.48
  4. Step 4: Simplify right side
    6,122.97x = 30,698,893.94
  5. Step 5: Solve for x
    x = 30,698,893.94/6,122.97
  6. Step 6: Final answer
    x = 5,013.73

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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.