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Finding the Fourth Proportional to 9,824.73, 13,554.12 and 6,046.75

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Solution

The fourth proportional to 9,824.73, 13,554.12 and 6,046.75 is: 8,342.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,824.73 : 13,554.12 = 6,046.75 : x
  2. Step 2: Convert to fraction form
    9,824.73/13,554.12 = 6,046.75/x
  3. Step 3: Cross multiply
    9,824.73x = 13,554.12 × 6,046.75
  4. Step 4: Simplify right side
    9,824.73x = 81,958,369.38
  5. Step 5: Solve for x
    x = 81,958,369.38/9,824.73
  6. Step 6: Final answer
    x = 8,342.05

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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.