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Finding the Fourth Proportional to 5,968.14, 8,176.94 and 5,747.01

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Solution

The fourth proportional to 5,968.14, 8,176.94 and 5,747.01 is: 7,873.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,968.14 : 8,176.94 = 5,747.01 : x
  2. Step 2: Convert to fraction form
    5,968.14/8,176.94 = 5,747.01/x
  3. Step 3: Cross multiply
    5,968.14x = 8,176.94 × 5,747.01
  4. Step 4: Simplify right side
    5,968.14x = 46,992,927.21
  5. Step 5: Solve for x
    x = 46,992,927.21/5,968.14
  6. Step 6: Final answer
    x = 7,873.97

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.