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Finding the Fourth Proportional to 8,632.14, 12,945.01 and 3,084

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Solution

The fourth proportional to 8,632.14, 12,945.01 and 3,084 is: 4,624.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.14 : 12,945.01 = 3,084 : x
  2. Step 2: Convert to fraction form
    8,632.14/12,945.01 = 3,084/x
  3. Step 3: Cross multiply
    8,632.14x = 12,945.01 × 3,084
  4. Step 4: Simplify right side
    8,632.14x = 39,922,410.84
  5. Step 5: Solve for x
    x = 39,922,410.84/8,632.14
  6. Step 6: Final answer
    x = 4,624.86

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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.