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Finding the Fourth Proportional to 9,777.58, 14,668.49 and 3,203.52

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Solution

The fourth proportional to 9,777.58, 14,668.49 and 3,203.52 is: 4,805.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.58 : 14,668.49 = 3,203.52 : x
  2. Step 2: Convert to fraction form
    9,777.58/14,668.49 = 3,203.52/x
  3. Step 3: Cross multiply
    9,777.58x = 14,668.49 × 3,203.52
  4. Step 4: Simplify right side
    9,777.58x = 46,990,754.09
  5. Step 5: Solve for x
    x = 46,990,754.09/9,777.58
  6. Step 6: Final answer
    x = 4,805.97

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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.