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Finding the Fourth Proportional to 6,164.16, 9,243.84 and 2,215.20

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Solution

The fourth proportional to 6,164.16, 9,243.84 and 2,215.20 is: 3,321.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.16 : 9,243.84 = 2,215.20 : x
  2. Step 2: Convert to fraction form
    6,164.16/9,243.84 = 2,215.20/x
  3. Step 3: Cross multiply
    6,164.16x = 9,243.84 × 2,215.20
  4. Step 4: Simplify right side
    6,164.16x = 20,476,954.37
  5. Step 5: Solve for x
    x = 20,476,954.37/6,164.16
  6. Step 6: Final answer
    x = 3,321.94

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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.