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Finding the Fourth Proportional to 9,777.41, 13,491.82 and 6,000.73

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Solution

The fourth proportional to 9,777.41, 13,491.82 and 6,000.73 is: 8,280.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.41 : 13,491.82 = 6,000.73 : x
  2. Step 2: Convert to fraction form
    9,777.41/13,491.82 = 6,000.73/x
  3. Step 3: Cross multiply
    9,777.41x = 13,491.82 × 6,000.73
  4. Step 4: Simplify right side
    9,777.41x = 80,960,769.03
  5. Step 5: Solve for x
    x = 80,960,769.03/9,777.41
  6. Step 6: Final answer
    x = 8,280.39

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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.