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Finding the Fourth Proportional to 6,741.36, 9,303.19 and 3,757.25

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Solution

The fourth proportional to 6,741.36, 9,303.19 and 3,757.25 is: 5,185.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.36 : 9,303.19 = 3,757.25 : x
  2. Step 2: Convert to fraction form
    6,741.36/9,303.19 = 3,757.25/x
  3. Step 3: Cross multiply
    6,741.36x = 9,303.19 × 3,757.25
  4. Step 4: Simplify right side
    6,741.36x = 34,954,424.49
  5. Step 5: Solve for x
    x = 34,954,424.49/6,741.36
  6. Step 6: Final answer
    x = 5,185.07

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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.