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Finding the Fourth Proportional to 6,441.09, 9,665.27 and 2,742.93

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Solution

The fourth proportional to 6,441.09, 9,665.27 and 2,742.93 is: 4,115.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.09 : 9,665.27 = 2,742.93 : x
  2. Step 2: Convert to fraction form
    6,441.09/9,665.27 = 2,742.93/x
  3. Step 3: Cross multiply
    6,441.09x = 9,665.27 × 2,742.93
  4. Step 4: Simplify right side
    6,441.09x = 26,511,171.04
  5. Step 5: Solve for x
    x = 26,511,171.04/6,441.09
  6. Step 6: Final answer
    x = 4,115.95

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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.