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Finding the Fourth Proportional to 9,523.73, 13,142.45 and 5,274.62

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Solution

The fourth proportional to 9,523.73, 13,142.45 and 5,274.62 is: 7,278.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.73 : 13,142.45 = 5,274.62 : x
  2. Step 2: Convert to fraction form
    9,523.73/13,142.45 = 5,274.62/x
  3. Step 3: Cross multiply
    9,523.73x = 13,142.45 × 5,274.62
  4. Step 4: Simplify right side
    9,523.73x = 69,321,426.38
  5. Step 5: Solve for x
    x = 69,321,426.38/9,523.73
  6. Step 6: Final answer
    x = 7,278.81

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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.