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Finding the Fourth Proportional to 6,163.86, 9,225.54 and 5,573.10

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Solution

The fourth proportional to 6,163.86, 9,225.54 and 5,573.10 is: 8,341.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,163.86 : 9,225.54 = 5,573.10 : x
  2. Step 2: Convert to fraction form
    6,163.86/9,225.54 = 5,573.10/x
  3. Step 3: Cross multiply
    6,163.86x = 9,225.54 × 5,573.10
  4. Step 4: Simplify right side
    6,163.86x = 51,414,856.97
  5. Step 5: Solve for x
    x = 51,414,856.97/6,163.86
  6. Step 6: Final answer
    x = 8,341.34

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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.