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Finding the Fourth Proportional to 9,773.80, 14,661.41 and 3,930.39

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Solution

The fourth proportional to 9,773.80, 14,661.41 and 3,930.39 is: 5,895.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,773.80 : 14,661.41 = 3,930.39 : x
  2. Step 2: Convert to fraction form
    9,773.80/14,661.41 = 3,930.39/x
  3. Step 3: Cross multiply
    9,773.80x = 14,661.41 × 3,930.39
  4. Step 4: Simplify right side
    9,773.80x = 57,625,039.60
  5. Step 5: Solve for x
    x = 57,625,039.60/9,773.80
  6. Step 6: Final answer
    x = 5,895.87

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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.