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Finding the Fourth Proportional to 6,225.88, 9,338.82 and 1,609.24

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Solution

The fourth proportional to 6,225.88, 9,338.82 and 1,609.24 is: 2,413.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,225.88 : 9,338.82 = 1,609.24 : x
  2. Step 2: Convert to fraction form
    6,225.88/9,338.82 = 1,609.24/x
  3. Step 3: Cross multiply
    6,225.88x = 9,338.82 × 1,609.24
  4. Step 4: Simplify right side
    6,225.88x = 15,028,402.70
  5. Step 5: Solve for x
    x = 15,028,402.70/6,225.88
  6. Step 6: Final answer
    x = 2,413.86

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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.