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Finding the Fourth Proportional to 6,401.41, 9,599.88 and 2,453.74

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Solution

The fourth proportional to 6,401.41, 9,599.88 and 2,453.74 is: 3,679.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.41 : 9,599.88 = 2,453.74 : x
  2. Step 2: Convert to fraction form
    6,401.41/9,599.88 = 2,453.74/x
  3. Step 3: Cross multiply
    6,401.41x = 9,599.88 × 2,453.74
  4. Step 4: Simplify right side
    6,401.41x = 23,555,609.55
  5. Step 5: Solve for x
    x = 23,555,609.55/6,401.41
  6. Step 6: Final answer
    x = 3,679.75

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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.