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Finding the Fourth Proportional to 9,401.63, 12,970.67 and 6,216.44

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Solution

The fourth proportional to 9,401.63, 12,970.67 and 6,216.44 is: 8,576.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,401.63 : 12,970.67 = 6,216.44 : x
  2. Step 2: Convert to fraction form
    9,401.63/12,970.67 = 6,216.44/x
  3. Step 3: Cross multiply
    9,401.63x = 12,970.67 × 6,216.44
  4. Step 4: Simplify right side
    9,401.63x = 80,631,295.88
  5. Step 5: Solve for x
    x = 80,631,295.88/9,401.63
  6. Step 6: Final answer
    x = 8,576.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.