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Finding the Fourth Proportional to 6,441.83, 9,662.62 and 2,059.28

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Solution

The fourth proportional to 6,441.83, 9,662.62 and 2,059.28 is: 3,088.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.83 : 9,662.62 = 2,059.28 : x
  2. Step 2: Convert to fraction form
    6,441.83/9,662.62 = 2,059.28/x
  3. Step 3: Cross multiply
    6,441.83x = 9,662.62 × 2,059.28
  4. Step 4: Simplify right side
    6,441.83x = 19,898,048.13
  5. Step 5: Solve for x
    x = 19,898,048.13/6,441.83
  6. Step 6: Final answer
    x = 3,088.88

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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.