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Finding the Fourth Proportional to 6,406.78, 9,609.46 and 2,021.84

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Solution

The fourth proportional to 6,406.78, 9,609.46 and 2,021.84 is: 3,032.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.78 : 9,609.46 = 2,021.84 : x
  2. Step 2: Convert to fraction form
    6,406.78/9,609.46 = 2,021.84/x
  3. Step 3: Cross multiply
    6,406.78x = 9,609.46 × 2,021.84
  4. Step 4: Simplify right side
    6,406.78x = 19,428,790.61
  5. Step 5: Solve for x
    x = 19,428,790.61/6,406.78
  6. Step 6: Final answer
    x = 3,032.54

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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.