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Finding the Fourth Proportional to 6,306.52, 9,465.62 and 3,188.73

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Solution

The fourth proportional to 6,306.52, 9,465.62 and 3,188.73 is: 4,786.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,306.52 : 9,465.62 = 3,188.73 : x
  2. Step 2: Convert to fraction form
    6,306.52/9,465.62 = 3,188.73/x
  3. Step 3: Cross multiply
    6,306.52x = 9,465.62 × 3,188.73
  4. Step 4: Simplify right side
    6,306.52x = 30,183,306.46
  5. Step 5: Solve for x
    x = 30,183,306.46/6,306.52
  6. Step 6: Final answer
    x = 4,786.05

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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.