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Finding the Fourth Proportional to 6,441.73, 9,662.29 and 2,281.67

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Solution

The fourth proportional to 6,441.73, 9,662.29 and 2,281.67 is: 3,422.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.73 : 9,662.29 = 2,281.67 : x
  2. Step 2: Convert to fraction form
    6,441.73/9,662.29 = 2,281.67/x
  3. Step 3: Cross multiply
    6,441.73x = 9,662.29 × 2,281.67
  4. Step 4: Simplify right side
    6,441.73x = 22,046,139.44
  5. Step 5: Solve for x
    x = 22,046,139.44/6,441.73
  6. Step 6: Final answer
    x = 3,422.40

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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.