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Finding the Fourth Proportional to 9,532.86, 13,150.89 and 5,998.02

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Solution

The fourth proportional to 9,532.86, 13,150.89 and 5,998.02 is: 8,274.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,532.86 : 13,150.89 = 5,998.02 : x
  2. Step 2: Convert to fraction form
    9,532.86/13,150.89 = 5,998.02/x
  3. Step 3: Cross multiply
    9,532.86x = 13,150.89 × 5,998.02
  4. Step 4: Simplify right side
    9,532.86x = 78,879,290.85
  5. Step 5: Solve for x
    x = 78,879,290.85/9,532.86
  6. Step 6: Final answer
    x = 8,274.46

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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.