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Finding the Fourth Proportional to 7,745.94, 11,617.69 and 6,438.09

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Solution

The fourth proportional to 7,745.94, 11,617.69 and 6,438.09 is: 9,656.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,745.94 : 11,617.69 = 6,438.09 : x
  2. Step 2: Convert to fraction form
    7,745.94/11,617.69 = 6,438.09/x
  3. Step 3: Cross multiply
    7,745.94x = 11,617.69 × 6,438.09
  4. Step 4: Simplify right side
    7,745.94x = 74,795,733.81
  5. Step 5: Solve for x
    x = 74,795,733.81/7,745.94
  6. Step 6: Final answer
    x = 9,656.12

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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.