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Finding the Fourth Proportional to 9,762.35, 14,633.19 and 3,186.77

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Solution

The fourth proportional to 9,762.35, 14,633.19 and 3,186.77 is: 4,776.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,762.35 : 14,633.19 = 3,186.77 : x
  2. Step 2: Convert to fraction form
    9,762.35/14,633.19 = 3,186.77/x
  3. Step 3: Cross multiply
    9,762.35x = 14,633.19 × 3,186.77
  4. Step 4: Simplify right side
    9,762.35x = 46,632,537.73
  5. Step 5: Solve for x
    x = 46,632,537.73/9,762.35
  6. Step 6: Final answer
    x = 4,776.78

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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.