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Finding the Fourth Proportional to 6,735.69, 9,294.75 and 4,217.67

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Solution

The fourth proportional to 6,735.69, 9,294.75 and 4,217.67 is: 5,820.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.69 : 9,294.75 = 4,217.67 : x
  2. Step 2: Convert to fraction form
    6,735.69/9,294.75 = 4,217.67/x
  3. Step 3: Cross multiply
    6,735.69x = 9,294.75 × 4,217.67
  4. Step 4: Simplify right side
    6,735.69x = 39,202,188.23
  5. Step 5: Solve for x
    x = 39,202,188.23/6,735.69
  6. Step 6: Final answer
    x = 5,820.07

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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.