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Finding the Fourth Proportional to 6,540.15, 9,809.26 and 2,157.65

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Solution

The fourth proportional to 6,540.15, 9,809.26 and 2,157.65 is: 3,236.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,540.15 : 9,809.26 = 2,157.65 : x
  2. Step 2: Convert to fraction form
    6,540.15/9,809.26 = 2,157.65/x
  3. Step 3: Cross multiply
    6,540.15x = 9,809.26 × 2,157.65
  4. Step 4: Simplify right side
    6,540.15x = 21,164,949.84
  5. Step 5: Solve for x
    x = 21,164,949.84/6,540.15
  6. Step 6: Final answer
    x = 3,236.16

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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.