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Finding the Fourth Proportional to 6,741.72, 9,303.24 and 3,757.80

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Solution

The fourth proportional to 6,741.72, 9,303.24 and 3,757.80 is: 5,185.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.72 : 9,303.24 = 3,757.80 : x
  2. Step 2: Convert to fraction form
    6,741.72/9,303.24 = 3,757.80/x
  3. Step 3: Cross multiply
    6,741.72x = 9,303.24 × 3,757.80
  4. Step 4: Simplify right side
    6,741.72x = 34,959,715.27
  5. Step 5: Solve for x
    x = 34,959,715.27/6,741.72
  6. Step 6: Final answer
    x = 5,185.58

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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.