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Finding the Fourth Proportional to 6,177.25, 9,251.46 and 4,786.12

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Solution

The fourth proportional to 6,177.25, 9,251.46 and 4,786.12 is: 7,168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,177.25 : 9,251.46 = 4,786.12 : x
  2. Step 2: Convert to fraction form
    6,177.25/9,251.46 = 4,786.12/x
  3. Step 3: Cross multiply
    6,177.25x = 9,251.46 × 4,786.12
  4. Step 4: Simplify right side
    6,177.25x = 44,278,597.74
  5. Step 5: Solve for x
    x = 44,278,597.74/6,177.25
  6. Step 6: Final answer
    x = 7,168.01

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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.