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Finding the Fourth Proportional to 9,523.26, 13,148.59 and 5,939.62

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Solution

The fourth proportional to 9,523.26, 13,148.59 and 5,939.62 is: 8,200.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,523.26 : 13,148.59 = 5,939.62 : x
  2. Step 2: Convert to fraction form
    9,523.26/13,148.59 = 5,939.62/x
  3. Step 3: Cross multiply
    9,523.26x = 13,148.59 × 5,939.62
  4. Step 4: Simplify right side
    9,523.26x = 78,097,628.14
  5. Step 5: Solve for x
    x = 78,097,628.14/9,523.26
  6. Step 6: Final answer
    x = 8,200.72

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.