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Finding the Fourth Proportional to 9,408.80, 12,977.16 and 6,049.28

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Solution

The fourth proportional to 9,408.80, 12,977.16 and 6,049.28 is: 8,343.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.80 : 12,977.16 = 6,049.28 : x
  2. Step 2: Convert to fraction form
    9,408.80/12,977.16 = 6,049.28/x
  3. Step 3: Cross multiply
    9,408.80x = 12,977.16 × 6,049.28
  4. Step 4: Simplify right side
    9,408.80x = 78,502,474.44
  5. Step 5: Solve for x
    x = 78,502,474.44/9,408.80
  6. Step 6: Final answer
    x = 8,343.52

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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.