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Finding the Fourth Proportional to 9,882.96, 13,638.56 and 6,105.26

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Solution

The fourth proportional to 9,882.96, 13,638.56 and 6,105.26 is: 8,425.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,882.96 : 13,638.56 = 6,105.26 : x
  2. Step 2: Convert to fraction form
    9,882.96/13,638.56 = 6,105.26/x
  3. Step 3: Cross multiply
    9,882.96x = 13,638.56 × 6,105.26
  4. Step 4: Simplify right side
    9,882.96x = 83,266,999.32
  5. Step 5: Solve for x
    x = 83,266,999.32/9,882.96
  6. Step 6: Final answer
    x = 8,425.31

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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.