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Finding the Fourth Proportional to 6,763.54, 9,333.67 and 3,779.38

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Solution

The fourth proportional to 6,763.54, 9,333.67 and 3,779.38 is: 5,215.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.54 : 9,333.67 = 3,779.38 : x
  2. Step 2: Convert to fraction form
    6,763.54/9,333.67 = 3,779.38/x
  3. Step 3: Cross multiply
    6,763.54x = 9,333.67 × 3,779.38
  4. Step 4: Simplify right side
    6,763.54x = 35,275,443.49
  5. Step 5: Solve for x
    x = 35,275,443.49/6,763.54
  6. Step 6: Final answer
    x = 5,215.53

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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.