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Finding the Fourth Proportional to 9,182.58, 13,775.22 and 2,942.07

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Solution

The fourth proportional to 9,182.58, 13,775.22 and 2,942.07 is: 4,413.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,182.58 : 13,775.22 = 2,942.07 : x
  2. Step 2: Convert to fraction form
    9,182.58/13,775.22 = 2,942.07/x
  3. Step 3: Cross multiply
    9,182.58x = 13,775.22 × 2,942.07
  4. Step 4: Simplify right side
    9,182.58x = 40,527,661.51
  5. Step 5: Solve for x
    x = 40,527,661.51/9,182.58
  6. Step 6: Final answer
    x = 4,413.54

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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.