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Finding the Fourth Proportional to 9,767.75, 14,652.03 and 2,842.25

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Solution

The fourth proportional to 9,767.75, 14,652.03 and 2,842.25 is: 4,263.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,767.75 : 14,652.03 = 2,842.25 : x
  2. Step 2: Convert to fraction form
    9,767.75/14,652.03 = 2,842.25/x
  3. Step 3: Cross multiply
    9,767.75x = 14,652.03 × 2,842.25
  4. Step 4: Simplify right side
    9,767.75x = 41,644,732.27
  5. Step 5: Solve for x
    x = 41,644,732.27/9,767.75
  6. Step 6: Final answer
    x = 4,263.49

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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.