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Finding the Fourth Proportional to 6,736.56, 9,296.04 and 3,752.24

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Solution

The fourth proportional to 6,736.56, 9,296.04 and 3,752.24 is: 5,177.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.56 : 9,296.04 = 3,752.24 : x
  2. Step 2: Convert to fraction form
    6,736.56/9,296.04 = 3,752.24/x
  3. Step 3: Cross multiply
    6,736.56x = 9,296.04 × 3,752.24
  4. Step 4: Simplify right side
    6,736.56x = 34,880,973.13
  5. Step 5: Solve for x
    x = 34,880,973.13/6,736.56
  6. Step 6: Final answer
    x = 5,177.86

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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.