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Finding the Fourth Proportional to 9,523.53, 14,287.86 and 3,975.03

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Solution

The fourth proportional to 9,523.53, 14,287.86 and 3,975.03 is: 5,963.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.53 : 14,287.86 = 3,975.03 : x
  2. Step 2: Convert to fraction form
    9,523.53/14,287.86 = 3,975.03/x
  3. Step 3: Cross multiply
    9,523.53x = 14,287.86 × 3,975.03
  4. Step 4: Simplify right side
    9,523.53x = 56,794,672.14
  5. Step 5: Solve for x
    x = 56,794,672.14/9,523.53
  6. Step 6: Final answer
    x = 5,963.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.