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Finding the Fourth Proportional to 9,165.44, 12,635.03 and 6,771.89

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Solution

The fourth proportional to 9,165.44, 12,635.03 and 6,771.89 is: 9,335.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,165.44 : 12,635.03 = 6,771.89 : x
  2. Step 2: Convert to fraction form
    9,165.44/12,635.03 = 6,771.89/x
  3. Step 3: Cross multiply
    9,165.44x = 12,635.03 × 6,771.89
  4. Step 4: Simplify right side
    9,165.44x = 85,562,936.27
  5. Step 5: Solve for x
    x = 85,562,936.27/9,165.44
  6. Step 6: Final answer
    x = 9,335.39

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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.