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Finding the Fourth Proportional to 9,108.63, 13,636.71 and 8,158.86

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Solution

The fourth proportional to 9,108.63, 13,636.71 and 8,158.86 is: 12,214.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,108.63 : 13,636.71 = 8,158.86 : x
  2. Step 2: Convert to fraction form
    9,108.63/13,636.71 = 8,158.86/x
  3. Step 3: Cross multiply
    9,108.63x = 13,636.71 × 8,158.86
  4. Step 4: Simplify right side
    9,108.63x = 111,260,007.75
  5. Step 5: Solve for x
    x = 111,260,007.75/9,108.63
  6. Step 6: Final answer
    x = 12,214.79

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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.