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Finding the Fourth Proportional to 9,532.26, 14,301.09 and 5,152.86

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Solution

The fourth proportional to 9,532.26, 14,301.09 and 5,152.86 is: 7,730.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.26 : 14,301.09 = 5,152.86 : x
  2. Step 2: Convert to fraction form
    9,532.26/14,301.09 = 5,152.86/x
  3. Step 3: Cross multiply
    9,532.26x = 14,301.09 × 5,152.86
  4. Step 4: Simplify right side
    9,532.26x = 73,691,514.62
  5. Step 5: Solve for x
    x = 73,691,514.62/9,532.26
  6. Step 6: Final answer
    x = 7,730.75

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