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Finding the Fourth Proportional to 9,221.36, 12,725.27 and 5,636.31

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Solution

The fourth proportional to 9,221.36, 12,725.27 and 5,636.31 is: 7,777.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,221.36 : 12,725.27 = 5,636.31 : x
  2. Step 2: Convert to fraction form
    9,221.36/12,725.27 = 5,636.31/x
  3. Step 3: Cross multiply
    9,221.36x = 12,725.27 × 5,636.31
  4. Step 4: Simplify right side
    9,221.36x = 71,723,538.37
  5. Step 5: Solve for x
    x = 71,723,538.37/9,221.36
  6. Step 6: Final answer
    x = 7,777.98

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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.