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Finding the Fourth Proportional to 6,945.72, 9,584.49 and 3,920.67

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Solution

The fourth proportional to 6,945.72, 9,584.49 and 3,920.67 is: 5,410.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,945.72 : 9,584.49 = 3,920.67 : x
  2. Step 2: Convert to fraction form
    6,945.72/9,584.49 = 3,920.67/x
  3. Step 3: Cross multiply
    6,945.72x = 9,584.49 × 3,920.67
  4. Step 4: Simplify right side
    6,945.72x = 37,577,643.65
  5. Step 5: Solve for x
    x = 37,577,643.65/6,945.72
  6. Step 6: Final answer
    x = 5,410.19

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