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Finding the Fourth Proportional to 9,107.70, 13,661.55 and 8,157.30

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Solution

The fourth proportional to 9,107.70, 13,661.55 and 8,157.30 is: 12,235.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,107.70 : 13,661.55 = 8,157.30 : x
  2. Step 2: Convert to fraction form
    9,107.70/13,661.55 = 8,157.30/x
  3. Step 3: Cross multiply
    9,107.70x = 13,661.55 × 8,157.30
  4. Step 4: Simplify right side
    9,107.70x = 111,441,361.82
  5. Step 5: Solve for x
    x = 111,441,361.82/9,107.70
  6. Step 6: Final answer
    x = 12,235.95

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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.