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Finding the Fourth Proportional to 8,427.85, 12,633.93 and 3,745.40

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Solution

The fourth proportional to 8,427.85, 12,633.93 and 3,745.40 is: 5,614.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,427.85 : 12,633.93 = 3,745.40 : x
  2. Step 2: Convert to fraction form
    8,427.85/12,633.93 = 3,745.40/x
  3. Step 3: Cross multiply
    8,427.85x = 12,633.93 × 3,745.40
  4. Step 4: Simplify right side
    8,427.85x = 47,319,058.25
  5. Step 5: Solve for x
    x = 47,319,058.25/8,427.85
  6. Step 6: Final answer
    x = 5,614.61

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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.