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Finding the Fourth Proportional to 6,344.33, 9,515.37 and 2,395.93

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Solution

The fourth proportional to 6,344.33, 9,515.37 and 2,395.93 is: 3,593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,344.33 : 9,515.37 = 2,395.93 : x
  2. Step 2: Convert to fraction form
    6,344.33/9,515.37 = 2,395.93/x
  3. Step 3: Cross multiply
    6,344.33x = 9,515.37 × 2,395.93
  4. Step 4: Simplify right side
    6,344.33x = 22,798,163.48
  5. Step 5: Solve for x
    x = 22,798,163.48/6,344.33
  6. Step 6: Final answer
    x = 3,593.47

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.