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Finding the Fourth Proportional to 9,839.06, 13,576.78 and 5,859.41

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Solution

The fourth proportional to 9,839.06, 13,576.78 and 5,859.41 is: 8,085.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,839.06 : 13,576.78 = 5,859.41 : x
  2. Step 2: Convert to fraction form
    9,839.06/13,576.78 = 5,859.41/x
  3. Step 3: Cross multiply
    9,839.06x = 13,576.78 × 5,859.41
  4. Step 4: Simplify right side
    9,839.06x = 79,551,920.50
  5. Step 5: Solve for x
    x = 79,551,920.50/9,839.06
  6. Step 6: Final answer
    x = 8,085.32

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.