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Finding the Fourth Proportional to 6,820.48, 9,413.56 and 4,269.42

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Solution

The fourth proportional to 6,820.48, 9,413.56 and 4,269.42 is: 5,892.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,820.48 : 9,413.56 = 4,269.42 : x
  2. Step 2: Convert to fraction form
    6,820.48/9,413.56 = 4,269.42/x
  3. Step 3: Cross multiply
    6,820.48x = 9,413.56 × 4,269.42
  4. Step 4: Simplify right side
    6,820.48x = 40,190,441.34
  5. Step 5: Solve for x
    x = 40,190,441.34/6,820.48
  6. Step 6: Final answer
    x = 5,892.61

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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.