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Finding the Fourth Proportional to 9,144.77, 13,722.89 and 3,597.96

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Solution

The fourth proportional to 9,144.77, 13,722.89 and 3,597.96 is: 5,399.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,144.77 : 13,722.89 = 3,597.96 : x
  2. Step 2: Convert to fraction form
    9,144.77/13,722.89 = 3,597.96/x
  3. Step 3: Cross multiply
    9,144.77x = 13,722.89 × 3,597.96
  4. Step 4: Simplify right side
    9,144.77x = 49,374,409.30
  5. Step 5: Solve for x
    x = 49,374,409.30/9,144.77
  6. Step 6: Final answer
    x = 5,399.20

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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.