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Finding the Fourth Proportional to 8,632.68, 12,949.72 and 3,636.50

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Solution

The fourth proportional to 8,632.68, 12,949.72 and 3,636.50 is: 5,455.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,632.68 : 12,949.72 = 3,636.50 : x
  2. Step 2: Convert to fraction form
    8,632.68/12,949.72 = 3,636.50/x
  3. Step 3: Cross multiply
    8,632.68x = 12,949.72 × 3,636.50
  4. Step 4: Simplify right side
    8,632.68x = 47,091,603.40
  5. Step 5: Solve for x
    x = 47,091,603.40/8,632.68
  6. Step 6: Final answer
    x = 5,455.04

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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.