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Finding the Fourth Proportional to 9,240.97, 12,745.33 and 8,179.87

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Solution

The fourth proportional to 9,240.97, 12,745.33 and 8,179.87 is: 11,281.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,240.97 : 12,745.33 = 8,179.87 : x
  2. Step 2: Convert to fraction form
    9,240.97/12,745.33 = 8,179.87/x
  3. Step 3: Cross multiply
    9,240.97x = 12,745.33 × 8,179.87
  4. Step 4: Simplify right side
    9,240.97x = 104,255,142.51
  5. Step 5: Solve for x
    x = 104,255,142.51/9,240.97
  6. Step 6: Final answer
    x = 11,281.84

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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.