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Finding the Fourth Proportional to 9,806.81, 13,531.87 and 5,827.82

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Solution

The fourth proportional to 9,806.81, 13,531.87 and 5,827.82 is: 8,041.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,806.81 : 13,531.87 = 5,827.82 : x
  2. Step 2: Convert to fraction form
    9,806.81/13,531.87 = 5,827.82/x
  3. Step 3: Cross multiply
    9,806.81x = 13,531.87 × 5,827.82
  4. Step 4: Simplify right side
    9,806.81x = 78,861,302.62
  5. Step 5: Solve for x
    x = 78,861,302.62/9,806.81
  6. Step 6: Final answer
    x = 8,041.48

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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.