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Finding the Fourth Proportional to 9,408.42, 12,983.24 and 5,375.45

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Solution

The fourth proportional to 9,408.42, 12,983.24 and 5,375.45 is: 7,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,408.42 : 12,983.24 = 5,375.45 : x
  2. Step 2: Convert to fraction form
    9,408.42/12,983.24 = 5,375.45/x
  3. Step 3: Cross multiply
    9,408.42x = 12,983.24 × 5,375.45
  4. Step 4: Simplify right side
    9,408.42x = 69,790,803.35
  5. Step 5: Solve for x
    x = 69,790,803.35/9,408.42
  6. Step 6: Final answer
    x = 7,417.91

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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.