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Finding the Fourth Proportional to 6,969.38, 9,617.94 and 3,825.77

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Solution

The fourth proportional to 6,969.38, 9,617.94 and 3,825.77 is: 5,279.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,969.38 : 9,617.94 = 3,825.77 : x
  2. Step 2: Convert to fraction form
    6,969.38/9,617.94 = 3,825.77/x
  3. Step 3: Cross multiply
    6,969.38x = 9,617.94 × 3,825.77
  4. Step 4: Simplify right side
    6,969.38x = 36,795,978.22
  5. Step 5: Solve for x
    x = 36,795,978.22/6,969.38
  6. Step 6: Final answer
    x = 5,279.67

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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.