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Finding the Fourth Proportional to 9,141.97, 13,686.21 and 8,266.48

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Solution

The fourth proportional to 9,141.97, 13,686.21 and 8,266.48 is: 12,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,141.97 : 13,686.21 = 8,266.48 : x
  2. Step 2: Convert to fraction form
    9,141.97/13,686.21 = 8,266.48/x
  3. Step 3: Cross multiply
    9,141.97x = 13,686.21 × 8,266.48
  4. Step 4: Simplify right side
    9,141.97x = 113,136,712.81
  5. Step 5: Solve for x
    x = 113,136,712.81/9,141.97
  6. Step 6: Final answer
    x = 12,375.54

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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.