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Finding the Fourth Proportional to 9,777.62, 14,668.65 and 3,203.66

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Solution

The fourth proportional to 9,777.62, 14,668.65 and 3,203.66 is: 4,806.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,777.62 : 14,668.65 = 3,203.66 : x
  2. Step 2: Convert to fraction form
    9,777.62/14,668.65 = 3,203.66/x
  3. Step 3: Cross multiply
    9,777.62x = 14,668.65 × 3,203.66
  4. Step 4: Simplify right side
    9,777.62x = 46,993,293.92
  5. Step 5: Solve for x
    x = 46,993,293.92/9,777.62
  6. Step 6: Final answer
    x = 4,806.21

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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.