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Finding the Fourth Proportional to 6,441.96, 9,662.85 and 2,059.83

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Solution

The fourth proportional to 6,441.96, 9,662.85 and 2,059.83 is: 3,089.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.96 : 9,662.85 = 2,059.83 : x
  2. Step 2: Convert to fraction form
    6,441.96/9,662.85 = 2,059.83/x
  3. Step 3: Cross multiply
    6,441.96x = 9,662.85 × 2,059.83
  4. Step 4: Simplify right side
    6,441.96x = 19,903,828.32
  5. Step 5: Solve for x
    x = 19,903,828.32/6,441.96
  6. Step 6: Final answer
    x = 3,089.72

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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.