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Finding the Fourth Proportional to 9,935, 14,902.46 and 7,745.34

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Solution

The fourth proportional to 9,935, 14,902.46 and 7,745.34 is: 11,617.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935 : 14,902.46 = 7,745.34 : x
  2. Step 2: Convert to fraction form
    9,935/14,902.46 = 7,745.34/x
  3. Step 3: Cross multiply
    9,935x = 14,902.46 × 7,745.34
  4. Step 4: Simplify right side
    9,935x = 115,424,619.54
  5. Step 5: Solve for x
    x = 115,424,619.54/9,935
  6. Step 6: Final answer
    x = 11,617.98

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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.