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Finding the Fourth Proportional to 6,741.50, 9,303.31 and 3,757.53

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Solution

The fourth proportional to 6,741.50, 9,303.31 and 3,757.53 is: 5,185.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,741.50 : 9,303.31 = 3,757.53 : x
  2. Step 2: Convert to fraction form
    6,741.50/9,303.31 = 3,757.53/x
  3. Step 3: Cross multiply
    6,741.50x = 9,303.31 × 3,757.53
  4. Step 4: Simplify right side
    6,741.50x = 34,957,437.44
  5. Step 5: Solve for x
    x = 34,957,437.44/6,741.50
  6. Step 6: Final answer
    x = 5,185.41

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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.