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Finding the Fourth Proportional to 8,638.56, 11,922.84 and 6,883.92

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Solution

The fourth proportional to 8,638.56, 11,922.84 and 6,883.92 is: 9,501.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,638.56 : 11,922.84 = 6,883.92 : x
  2. Step 2: Convert to fraction form
    8,638.56/11,922.84 = 6,883.92/x
  3. Step 3: Cross multiply
    8,638.56x = 11,922.84 × 6,883.92
  4. Step 4: Simplify right side
    8,638.56x = 82,075,876.73
  5. Step 5: Solve for x
    x = 82,075,876.73/8,638.56
  6. Step 6: Final answer
    x = 9,501.11

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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.