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Finding the Fourth Proportional to 9,682.07, 14,495.72 and 6,163.29

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Solution

The fourth proportional to 9,682.07, 14,495.72 and 6,163.29 is: 9,227.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,682.07 : 14,495.72 = 6,163.29 : x
  2. Step 2: Convert to fraction form
    9,682.07/14,495.72 = 6,163.29/x
  3. Step 3: Cross multiply
    9,682.07x = 14,495.72 × 6,163.29
  4. Step 4: Simplify right side
    9,682.07x = 89,341,295.30
  5. Step 5: Solve for x
    x = 89,341,295.30/9,682.07
  6. Step 6: Final answer
    x = 9,227.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.