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Finding the Fourth Proportional to 9,164.62, 13,750.44 and 3,900.88

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Solution

The fourth proportional to 9,164.62, 13,750.44 and 3,900.88 is: 5,852.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,164.62 : 13,750.44 = 3,900.88 : x
  2. Step 2: Convert to fraction form
    9,164.62/13,750.44 = 3,900.88/x
  3. Step 3: Cross multiply
    9,164.62x = 13,750.44 × 3,900.88
  4. Step 4: Simplify right side
    9,164.62x = 53,638,816.39
  5. Step 5: Solve for x
    x = 53,638,816.39/9,164.62
  6. Step 6: Final answer
    x = 5,852.81

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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.