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Finding the Fourth Proportional to 9,767.27, 14,652.27 and 3,191.79

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Solution

The fourth proportional to 9,767.27, 14,652.27 and 3,191.79 is: 4,788.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.27 : 14,652.27 = 3,191.79 : x
  2. Step 2: Convert to fraction form
    9,767.27/14,652.27 = 3,191.79/x
  3. Step 3: Cross multiply
    9,767.27x = 14,652.27 × 3,191.79
  4. Step 4: Simplify right side
    9,767.27x = 46,766,968.86
  5. Step 5: Solve for x
    x = 46,766,968.86/9,767.27
  6. Step 6: Final answer
    x = 4,788.13

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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.