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Finding the Fourth Proportional to 6,744.26, 9,307.29 and 3,760.02

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Solution

The fourth proportional to 6,744.26, 9,307.29 and 3,760.02 is: 5,188.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.26 : 9,307.29 = 3,760.02 : x
  2. Step 2: Convert to fraction form
    6,744.26/9,307.29 = 3,760.02/x
  3. Step 3: Cross multiply
    6,744.26x = 9,307.29 × 3,760.02
  4. Step 4: Simplify right side
    6,744.26x = 34,995,596.55
  5. Step 5: Solve for x
    x = 34,995,596.55/6,744.26
  6. Step 6: Final answer
    x = 5,188.95

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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.