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Finding the Fourth Proportional to 9,589.96, 13,235.80 and 5,556.94

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Solution

The fourth proportional to 9,589.96, 13,235.80 and 5,556.94 is: 7,669.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,589.96 : 13,235.80 = 5,556.94 : x
  2. Step 2: Convert to fraction form
    9,589.96/13,235.80 = 5,556.94/x
  3. Step 3: Cross multiply
    9,589.96x = 13,235.80 × 5,556.94
  4. Step 4: Simplify right side
    9,589.96x = 73,550,546.45
  5. Step 5: Solve for x
    x = 73,550,546.45/9,589.96
  6. Step 6: Final answer
    x = 7,669.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.