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Finding the Fourth Proportional to 6,441.33, 9,661.80 and 2,059.05

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Solution

The fourth proportional to 6,441.33, 9,661.80 and 2,059.05 is: 3,088.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,441.33 : 9,661.80 = 2,059.05 : x
  2. Step 2: Convert to fraction form
    6,441.33/9,661.80 = 2,059.05/x
  3. Step 3: Cross multiply
    6,441.33x = 9,661.80 × 2,059.05
  4. Step 4: Simplify right side
    6,441.33x = 19,894,129.29
  5. Step 5: Solve for x
    x = 19,894,129.29/6,441.33
  6. Step 6: Final answer
    x = 3,088.51

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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.