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Finding the Fourth Proportional to 6,177.90, 9,266.91 and 4,942.24

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Solution

The fourth proportional to 6,177.90, 9,266.91 and 4,942.24 is: 7,413.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.90 : 9,266.91 = 4,942.24 : x
  2. Step 2: Convert to fraction form
    6,177.90/9,266.91 = 4,942.24/x
  3. Step 3: Cross multiply
    6,177.90x = 9,266.91 × 4,942.24
  4. Step 4: Simplify right side
    6,177.90x = 45,799,293.28
  5. Step 5: Solve for x
    x = 45,799,293.28/6,177.90
  6. Step 6: Final answer
    x = 7,413.41

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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.