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Finding the Fourth Proportional to 6,232.26, 9,348.42 and 1,615.26

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Solution

The fourth proportional to 6,232.26, 9,348.42 and 1,615.26 is: 2,422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.26 : 9,348.42 = 1,615.26 : x
  2. Step 2: Convert to fraction form
    6,232.26/9,348.42 = 1,615.26/x
  3. Step 3: Cross multiply
    6,232.26x = 9,348.42 × 1,615.26
  4. Step 4: Simplify right side
    6,232.26x = 15,100,128.89
  5. Step 5: Solve for x
    x = 15,100,128.89/6,232.26
  6. Step 6: Final answer
    x = 2,422.90

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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.