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Finding the Fourth Proportional to 9,805.82, 13,531.95 and 5,976.35

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Solution

The fourth proportional to 9,805.82, 13,531.95 and 5,976.35 is: 8,247.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,805.82 : 13,531.95 = 5,976.35 : x
  2. Step 2: Convert to fraction form
    9,805.82/13,531.95 = 5,976.35/x
  3. Step 3: Cross multiply
    9,805.82x = 13,531.95 × 5,976.35
  4. Step 4: Simplify right side
    9,805.82x = 80,871,669.38
  5. Step 5: Solve for x
    x = 80,871,669.38/9,805.82
  6. Step 6: Final answer
    x = 8,247.31

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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.