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Finding the Fourth Proportional to 9,097.96, 13,647.34 and 3,550.80

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Solution

The fourth proportional to 9,097.96, 13,647.34 and 3,550.80 is: 5,326.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,097.96 : 13,647.34 = 3,550.80 : x
  2. Step 2: Convert to fraction form
    9,097.96/13,647.34 = 3,550.80/x
  3. Step 3: Cross multiply
    9,097.96x = 13,647.34 × 3,550.80
  4. Step 4: Simplify right side
    9,097.96x = 48,458,974.87
  5. Step 5: Solve for x
    x = 48,458,974.87/9,097.96
  6. Step 6: Final answer
    x = 5,326.36

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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.