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Finding the Fourth Proportional to 9,623.89, 13,274.98 and 5,843.38

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Solution

The fourth proportional to 9,623.89, 13,274.98 and 5,843.38 is: 8,060.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,623.89 : 13,274.98 = 5,843.38 : x
  2. Step 2: Convert to fraction form
    9,623.89/13,274.98 = 5,843.38/x
  3. Step 3: Cross multiply
    9,623.89x = 13,274.98 × 5,843.38
  4. Step 4: Simplify right side
    9,623.89x = 77,570,752.63
  5. Step 5: Solve for x
    x = 77,570,752.63/9,623.89
  6. Step 6: Final answer
    x = 8,060.23

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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.