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Finding the Fourth Proportional to 10,344.43, 15,515.73 and 6,396.29

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Solution

The fourth proportional to 10,344.43, 15,515.73 and 6,396.29 is: 9,593.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,344.43 : 15,515.73 = 6,396.29 : x
  2. Step 2: Convert to fraction form
    10,344.43/15,515.73 = 6,396.29/x
  3. Step 3: Cross multiply
    10,344.43x = 15,515.73 × 6,396.29
  4. Step 4: Simplify right side
    10,344.43x = 99,243,031.06
  5. Step 5: Solve for x
    x = 99,243,031.06/10,344.43
  6. Step 6: Final answer
    x = 9,593.86

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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.