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Finding the Fourth Proportional to 6,763.98, 9,334.24 and 3,739.09

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Solution

The fourth proportional to 6,763.98, 9,334.24 and 3,739.09 is: 5,159.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,763.98 : 9,334.24 = 3,739.09 : x
  2. Step 2: Convert to fraction form
    6,763.98/9,334.24 = 3,739.09/x
  3. Step 3: Cross multiply
    6,763.98x = 9,334.24 × 3,739.09
  4. Step 4: Simplify right side
    6,763.98x = 34,901,530.76
  5. Step 5: Solve for x
    x = 34,901,530.76/6,763.98
  6. Step 6: Final answer
    x = 5,159.91

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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.