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Finding the Fourth Proportional to 9,180.80, 13,768.80 and 2,606.24

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Solution

The fourth proportional to 9,180.80, 13,768.80 and 2,606.24 is: 3,908.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,180.80 : 13,768.80 = 2,606.24 : x
  2. Step 2: Convert to fraction form
    9,180.80/13,768.80 = 2,606.24/x
  3. Step 3: Cross multiply
    9,180.80x = 13,768.80 × 2,606.24
  4. Step 4: Simplify right side
    9,180.80x = 35,884,797.31
  5. Step 5: Solve for x
    x = 35,884,797.31/9,180.80
  6. Step 6: Final answer
    x = 3,908.68

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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.