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Finding the Fourth Proportional to 6,942.74, 9,580.94 and 3,756.02

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Solution

The fourth proportional to 6,942.74, 9,580.94 and 3,756.02 is: 5,183.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,942.74 : 9,580.94 = 3,756.02 : x
  2. Step 2: Convert to fraction form
    6,942.74/9,580.94 = 3,756.02/x
  3. Step 3: Cross multiply
    6,942.74x = 9,580.94 × 3,756.02
  4. Step 4: Simplify right side
    6,942.74x = 35,986,225.22
  5. Step 5: Solve for x
    x = 35,986,225.22/6,942.74
  6. Step 6: Final answer
    x = 5,183.29

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.