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Finding the Fourth Proportional to 9,249.42, 12,765.28 and 5,271.20

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Solution

The fourth proportional to 9,249.42, 12,765.28 and 5,271.20 is: 7,274.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,249.42 : 12,765.28 = 5,271.20 : x
  2. Step 2: Convert to fraction form
    9,249.42/12,765.28 = 5,271.20/x
  3. Step 3: Cross multiply
    9,249.42x = 12,765.28 × 5,271.20
  4. Step 4: Simplify right side
    9,249.42x = 67,288,343.94
  5. Step 5: Solve for x
    x = 67,288,343.94/9,249.42
  6. Step 6: Final answer
    x = 7,274.87

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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.