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Finding the Fourth Proportional to 8,739.14, 13,106.42 and 5,965.30

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Solution

The fourth proportional to 8,739.14, 13,106.42 and 5,965.30 is: 8,946.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739.14 : 13,106.42 = 5,965.30 : x
  2. Step 2: Convert to fraction form
    8,739.14/13,106.42 = 5,965.30/x
  3. Step 3: Cross multiply
    8,739.14x = 13,106.42 × 5,965.30
  4. Step 4: Simplify right side
    8,739.14x = 78,183,727.23
  5. Step 5: Solve for x
    x = 78,183,727.23/8,739.14
  6. Step 6: Final answer
    x = 8,946.39

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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.