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Finding the Fourth Proportional to 6,164.30, 9,245.24 and 2,215.45

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Solution

The fourth proportional to 6,164.30, 9,245.24 and 2,215.45 is: 3,322.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,164.30 : 9,245.24 = 2,215.45 : x
  2. Step 2: Convert to fraction form
    6,164.30/9,245.24 = 2,215.45/x
  3. Step 3: Cross multiply
    6,164.30x = 9,245.24 × 2,215.45
  4. Step 4: Simplify right side
    6,164.30x = 20,482,375.75
  5. Step 5: Solve for x
    x = 20,482,375.75/6,164.30
  6. Step 6: Final answer
    x = 3,322.74

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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.