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Finding the Fourth Proportional to 8,739.68, 13,106.04 and 3,191.76

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Solution

The fourth proportional to 8,739.68, 13,106.04 and 3,191.76 is: 4,786.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,739.68 : 13,106.04 = 3,191.76 : x
  2. Step 2: Convert to fraction form
    8,739.68/13,106.04 = 3,191.76/x
  3. Step 3: Cross multiply
    8,739.68x = 13,106.04 × 3,191.76
  4. Step 4: Simplify right side
    8,739.68x = 41,831,334.23
  5. Step 5: Solve for x
    x = 41,831,334.23/8,739.68
  6. Step 6: Final answer
    x = 4,786.37

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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.