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Finding the Fourth Proportional to 9,106.50, 13,659.25 and 3,839.28

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Solution

The fourth proportional to 9,106.50, 13,659.25 and 3,839.28 is: 5,758.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,106.50 : 13,659.25 = 3,839.28 : x
  2. Step 2: Convert to fraction form
    9,106.50/13,659.25 = 3,839.28/x
  3. Step 3: Cross multiply
    9,106.50x = 13,659.25 × 3,839.28
  4. Step 4: Simplify right side
    9,106.50x = 52,441,685.34
  5. Step 5: Solve for x
    x = 52,441,685.34/9,106.50
  6. Step 6: Final answer
    x = 5,758.71

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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.