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Finding the Fourth Proportional to 9,879.44, 13,638.58 and 7,636.25

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Solution

The fourth proportional to 9,879.44, 13,638.58 and 7,636.25 is: 10,541.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,879.44 : 13,638.58 = 7,636.25 : x
  2. Step 2: Convert to fraction form
    9,879.44/13,638.58 = 7,636.25/x
  3. Step 3: Cross multiply
    9,879.44x = 13,638.58 × 7,636.25
  4. Step 4: Simplify right side
    9,879.44x = 104,147,519.24
  5. Step 5: Solve for x
    x = 104,147,519.24/9,879.44
  6. Step 6: Final answer
    x = 10,541.85

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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.