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Finding the Fourth Proportional to 9,773.87, 14,661.67 and 2,753.94

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Solution

The fourth proportional to 9,773.87, 14,661.67 and 2,753.94 is: 4,131.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.87 : 14,661.67 = 2,753.94 : x
  2. Step 2: Convert to fraction form
    9,773.87/14,661.67 = 2,753.94/x
  3. Step 3: Cross multiply
    9,773.87x = 14,661.67 × 2,753.94
  4. Step 4: Simplify right side
    9,773.87x = 40,377,408.87
  5. Step 5: Solve for x
    x = 40,377,408.87/9,773.87
  6. Step 6: Final answer
    x = 4,131.16

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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.