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Finding the Fourth Proportional to 9,101.60, 13,626.21 and 8,151.86

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Solution

The fourth proportional to 9,101.60, 13,626.21 and 8,151.86 is: 12,204.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,101.60 : 13,626.21 = 8,151.86 : x
  2. Step 2: Convert to fraction form
    9,101.60/13,626.21 = 8,151.86/x
  3. Step 3: Cross multiply
    9,101.60x = 13,626.21 × 8,151.86
  4. Step 4: Simplify right side
    9,101.60x = 111,078,956.25
  5. Step 5: Solve for x
    x = 111,078,956.25/9,101.60
  6. Step 6: Final answer
    x = 12,204.33

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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.