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Finding the Fourth Proportional to 9,849, 14,777.82 and 5,745

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Solution

The fourth proportional to 9,849, 14,777.82 and 5,745 is: 8,620.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,849 : 14,777.82 = 5,745 : x
  2. Step 2: Convert to fraction form
    9,849/14,777.82 = 5,745/x
  3. Step 3: Cross multiply
    9,849x = 14,777.82 × 5,745
  4. Step 4: Simplify right side
    9,849x = 84,898,575.90
  5. Step 5: Solve for x
    x = 84,898,575.90/9,849
  6. Step 6: Final answer
    x = 8,620.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.