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Finding the Fourth Proportional to 6,406.68, 9,609.55 and 3,077.31

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Solution

The fourth proportional to 6,406.68, 9,609.55 and 3,077.31 is: 4,615.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,406.68 : 9,609.55 = 3,077.31 : x
  2. Step 2: Convert to fraction form
    6,406.68/9,609.55 = 3,077.31/x
  3. Step 3: Cross multiply
    6,406.68x = 9,609.55 × 3,077.31
  4. Step 4: Simplify right side
    6,406.68x = 29,571,556.62
  5. Step 5: Solve for x
    x = 29,571,556.62/6,406.68
  6. Step 6: Final answer
    x = 4,615.74

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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.