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Finding the Fourth Proportional to 9,729.88, 13,414.95 and 6,367.37

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Solution

The fourth proportional to 9,729.88, 13,414.95 and 6,367.37 is: 8,778.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,729.88 : 13,414.95 = 6,367.37 : x
  2. Step 2: Convert to fraction form
    9,729.88/13,414.95 = 6,367.37/x
  3. Step 3: Cross multiply
    9,729.88x = 13,414.95 × 6,367.37
  4. Step 4: Simplify right side
    9,729.88x = 85,417,883.11
  5. Step 5: Solve for x
    x = 85,417,883.11/9,729.88
  6. Step 6: Final answer
    x = 8,778.93

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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.