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Finding the Fourth Proportional to 6,821.64, 9,413.28 and 3,837.06

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Solution

The fourth proportional to 6,821.64, 9,413.28 and 3,837.06 is: 5,294.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,821.64 : 9,413.28 = 3,837.06 : x
  2. Step 2: Convert to fraction form
    6,821.64/9,413.28 = 3,837.06/x
  3. Step 3: Cross multiply
    6,821.64x = 9,413.28 × 3,837.06
  4. Step 4: Simplify right side
    6,821.64x = 36,119,320.16
  5. Step 5: Solve for x
    x = 36,119,320.16/6,821.64
  6. Step 6: Final answer
    x = 5,294.81

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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.