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Finding the Fourth Proportional to 6,429.96, 9,638.26 and 2,729.08

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Solution

The fourth proportional to 6,429.96, 9,638.26 and 2,729.08 is: 4,090.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,429.96 : 9,638.26 = 2,729.08 : x
  2. Step 2: Convert to fraction form
    6,429.96/9,638.26 = 2,729.08/x
  3. Step 3: Cross multiply
    6,429.96x = 9,638.26 × 2,729.08
  4. Step 4: Simplify right side
    6,429.96x = 26,303,582.60
  5. Step 5: Solve for x
    x = 26,303,582.60/6,429.96
  6. Step 6: Final answer
    x = 4,090.78

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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.