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Finding the Fourth Proportional to 9,000, 12,421.44 and 5,274

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Solution

The fourth proportional to 9,000, 12,421.44 and 5,274 is: 7,278.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,000 : 12,421.44 = 5,274 : x
  2. Step 2: Convert to fraction form
    9,000/12,421.44 = 5,274/x
  3. Step 3: Cross multiply
    9,000x = 12,421.44 × 5,274
  4. Step 4: Simplify right side
    9,000x = 65,510,674.56
  5. Step 5: Solve for x
    x = 65,510,674.56/9,000
  6. Step 6: Final answer
    x = 7,278.96

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.