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Finding the Fourth Proportional to 9,408.24, 14,052.77 and 8,868.44

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Solution

The fourth proportional to 9,408.24, 14,052.77 and 8,868.44 is: 13,246.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.24 : 14,052.77 = 8,868.44 : x
  2. Step 2: Convert to fraction form
    9,408.24/14,052.77 = 8,868.44/x
  3. Step 3: Cross multiply
    9,408.24x = 14,052.77 × 8,868.44
  4. Step 4: Simplify right side
    9,408.24x = 124,626,032.97
  5. Step 5: Solve for x
    x = 124,626,032.97/9,408.24
  6. Step 6: Final answer
    x = 13,246.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.