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Finding the Fourth Proportional to 9,735.94, 14,603.91 and 7,791.94

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Solution

The fourth proportional to 9,735.94, 14,603.91 and 7,791.94 is: 11,687.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,735.94 : 14,603.91 = 7,791.94 : x
  2. Step 2: Convert to fraction form
    9,735.94/14,603.91 = 7,791.94/x
  3. Step 3: Cross multiply
    9,735.94x = 14,603.91 × 7,791.94
  4. Step 4: Simplify right side
    9,735.94x = 113,792,790.49
  5. Step 5: Solve for x
    x = 113,792,790.49/9,735.94
  6. Step 6: Final answer
    x = 11,687.91

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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.