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Finding the Fourth Proportional to 8,636.25, 12,961.68 and 3,442.14

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Solution

The fourth proportional to 8,636.25, 12,961.68 and 3,442.14 is: 5,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,636.25 : 12,961.68 = 3,442.14 : x
  2. Step 2: Convert to fraction form
    8,636.25/12,961.68 = 3,442.14/x
  3. Step 3: Cross multiply
    8,636.25x = 12,961.68 × 3,442.14
  4. Step 4: Simplify right side
    8,636.25x = 44,615,917.20
  5. Step 5: Solve for x
    x = 44,615,917.20/8,636.25
  6. Step 6: Final answer
    x = 5,166.12

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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.