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Finding the Fourth Proportional to 9,842.41, 14,759.16 and 2,820.81

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Solution

The fourth proportional to 9,842.41, 14,759.16 and 2,820.81 is: 4,229.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,842.41 : 14,759.16 = 2,820.81 : x
  2. Step 2: Convert to fraction form
    9,842.41/14,759.16 = 2,820.81/x
  3. Step 3: Cross multiply
    9,842.41x = 14,759.16 × 2,820.81
  4. Step 4: Simplify right side
    9,842.41x = 41,632,786.12
  5. Step 5: Solve for x
    x = 41,632,786.12/9,842.41
  6. Step 6: Final answer
    x = 4,229.94

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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.