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Finding the Fourth Proportional to 9,871.89, 13,623.24 and 5,892.92

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Solution

The fourth proportional to 9,871.89, 13,623.24 and 5,892.92 is: 8,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,871.89 : 13,623.24 = 5,892.92 : x
  2. Step 2: Convert to fraction form
    9,871.89/13,623.24 = 5,892.92/x
  3. Step 3: Cross multiply
    9,871.89x = 13,623.24 × 5,892.92
  4. Step 4: Simplify right side
    9,871.89x = 80,280,635.38
  5. Step 5: Solve for x
    x = 80,280,635.38/9,871.89
  6. Step 6: Final answer
    x = 8,132.24

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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.