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Finding the Fourth Proportional to 9,105.12, 13,638.24 and 7,647.12

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Solution

The fourth proportional to 9,105.12, 13,638.24 and 7,647.12 is: 11,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,105.12 : 13,638.24 = 7,647.12 : x
  2. Step 2: Convert to fraction form
    9,105.12/13,638.24 = 7,647.12/x
  3. Step 3: Cross multiply
    9,105.12x = 13,638.24 × 7,647.12
  4. Step 4: Simplify right side
    9,105.12x = 104,293,257.87
  5. Step 5: Solve for x
    x = 104,293,257.87/9,105.12
  6. Step 6: Final answer
    x = 11,454.35

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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.