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Finding the Fourth Proportional to 6,164.88, 9,246.16 and 2,215.52

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Solution

The fourth proportional to 6,164.88, 9,246.16 and 2,215.52 is: 3,322.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.88 : 9,246.16 = 2,215.52 : x
  2. Step 2: Convert to fraction form
    6,164.88/9,246.16 = 2,215.52/x
  3. Step 3: Cross multiply
    6,164.88x = 9,246.16 × 2,215.52
  4. Step 4: Simplify right side
    6,164.88x = 20,485,052.40
  5. Step 5: Solve for x
    x = 20,485,052.40/6,164.88
  6. Step 6: Final answer
    x = 3,322.86

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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.