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Finding the Fourth Proportional to 9,777.87, 14,665.31 and 3,203.91

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Solution

The fourth proportional to 9,777.87, 14,665.31 and 3,203.91 is: 4,805.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.87 : 14,665.31 = 3,203.91 : x
  2. Step 2: Convert to fraction form
    9,777.87/14,665.31 = 3,203.91/x
  3. Step 3: Cross multiply
    9,777.87x = 14,665.31 × 3,203.91
  4. Step 4: Simplify right side
    9,777.87x = 46,986,268.05
  5. Step 5: Solve for x
    x = 46,986,268.05/9,777.87
  6. Step 6: Final answer
    x = 4,805.37

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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.