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Finding the Fourth Proportional to 9,808.33, 13,532.38 and 6,084.49

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Solution

The fourth proportional to 9,808.33, 13,532.38 and 6,084.49 is: 8,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,808.33 : 13,532.38 = 6,084.49 : x
  2. Step 2: Convert to fraction form
    9,808.33/13,532.38 = 6,084.49/x
  3. Step 3: Cross multiply
    9,808.33x = 13,532.38 × 6,084.49
  4. Step 4: Simplify right side
    9,808.33x = 82,337,630.79
  5. Step 5: Solve for x
    x = 82,337,630.79/9,808.33
  6. Step 6: Final answer
    x = 8,394.66

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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.