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Finding the Fourth Proportional to 6,185.12, 9,278.84 and 2,487.64

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Solution

The fourth proportional to 6,185.12, 9,278.84 and 2,487.64 is: 3,731.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.12 : 9,278.84 = 2,487.64 : x
  2. Step 2: Convert to fraction form
    6,185.12/9,278.84 = 2,487.64/x
  3. Step 3: Cross multiply
    6,185.12x = 9,278.84 × 2,487.64
  4. Step 4: Simplify right side
    6,185.12x = 23,082,413.54
  5. Step 5: Solve for x
    x = 23,082,413.54/6,185.12
  6. Step 6: Final answer
    x = 3,731.93

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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.