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Finding the Fourth Proportional to 6,439.14, 9,658.44 and 2,739.60

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Solution

The fourth proportional to 6,439.14, 9,658.44 and 2,739.60 is: 4,109.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,439.14 : 9,658.44 = 2,739.60 : x
  2. Step 2: Convert to fraction form
    6,439.14/9,658.44 = 2,739.60/x
  3. Step 3: Cross multiply
    6,439.14x = 9,658.44 × 2,739.60
  4. Step 4: Simplify right side
    6,439.14x = 26,460,262.22
  5. Step 5: Solve for x
    x = 26,460,262.22/6,439.14
  6. Step 6: Final answer
    x = 4,109.29

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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.