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Finding the Fourth Proportional to 9,199.86, 13,765.77 and 5,504.64

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Solution

The fourth proportional to 9,199.86, 13,765.77 and 5,504.64 is: 8,236.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,199.86 : 13,765.77 = 5,504.64 : x
  2. Step 2: Convert to fraction form
    9,199.86/13,765.77 = 5,504.64/x
  3. Step 3: Cross multiply
    9,199.86x = 13,765.77 × 5,504.64
  4. Step 4: Simplify right side
    9,199.86x = 75,775,608.17
  5. Step 5: Solve for x
    x = 75,775,608.17/9,199.86
  6. Step 6: Final answer
    x = 8,236.60

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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.