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Finding the Fourth Proportional to 9,586.38, 13,221.43 and 7,892.84

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Solution

The fourth proportional to 9,586.38, 13,221.43 and 7,892.84 is: 10,885.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,586.38 : 13,221.43 = 7,892.84 : x
  2. Step 2: Convert to fraction form
    9,586.38/13,221.43 = 7,892.84/x
  3. Step 3: Cross multiply
    9,586.38x = 13,221.43 × 7,892.84
  4. Step 4: Simplify right side
    9,586.38x = 104,354,644.88
  5. Step 5: Solve for x
    x = 104,354,644.88/9,586.38
  6. Step 6: Final answer
    x = 10,885.72

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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.