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Finding the Fourth Proportional to 9,106.67, 13,661.37 and 3,261.89

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Solution

The fourth proportional to 9,106.67, 13,661.37 and 3,261.89 is: 4,893.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.67 : 13,661.37 = 3,261.89 : x
  2. Step 2: Convert to fraction form
    9,106.67/13,661.37 = 3,261.89/x
  3. Step 3: Cross multiply
    9,106.67x = 13,661.37 × 3,261.89
  4. Step 4: Simplify right side
    9,106.67x = 44,561,817.88
  5. Step 5: Solve for x
    x = 44,561,817.88/9,106.67
  6. Step 6: Final answer
    x = 4,893.32

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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.