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Finding the Fourth Proportional to 9,165.60, 13,757.40 and 4,786.56

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Solution

The fourth proportional to 9,165.60, 13,757.40 and 4,786.56 is: 7,184.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.60 : 13,757.40 = 4,786.56 : x
  2. Step 2: Convert to fraction form
    9,165.60/13,757.40 = 4,786.56/x
  3. Step 3: Cross multiply
    9,165.60x = 13,757.40 × 4,786.56
  4. Step 4: Simplify right side
    9,165.60x = 65,850,620.54
  5. Step 5: Solve for x
    x = 65,850,620.54/9,165.60
  6. Step 6: Final answer
    x = 7,184.54

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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.