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Finding the Fourth Proportional to 6,401.26, 9,604.44 and 3,113.98

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Solution

The fourth proportional to 6,401.26, 9,604.44 and 3,113.98 is: 4,672.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,401.26 : 9,604.44 = 3,113.98 : x
  2. Step 2: Convert to fraction form
    6,401.26/9,604.44 = 3,113.98/x
  3. Step 3: Cross multiply
    6,401.26x = 9,604.44 × 3,113.98
  4. Step 4: Simplify right side
    6,401.26x = 29,908,034.07
  5. Step 5: Solve for x
    x = 29,908,034.07/6,401.26
  6. Step 6: Final answer
    x = 4,672.21

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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.