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Finding the Fourth Proportional to 6,735.99, 9,295.42 and 3,751.76

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Solution

The fourth proportional to 6,735.99, 9,295.42 and 3,751.76 is: 5,177.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,735.99 : 9,295.42 = 3,751.76 : x
  2. Step 2: Convert to fraction form
    6,735.99/9,295.42 = 3,751.76/x
  3. Step 3: Cross multiply
    6,735.99x = 9,295.42 × 3,751.76
  4. Step 4: Simplify right side
    6,735.99x = 34,874,184.94
  5. Step 5: Solve for x
    x = 34,874,184.94/6,735.99
  6. Step 6: Final answer
    x = 5,177.29

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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.