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Finding the Fourth Proportional to 6,573.84, 9,861.57 and 2,413.14

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Solution

The fourth proportional to 6,573.84, 9,861.57 and 2,413.14 is: 3,620.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,573.84 : 9,861.57 = 2,413.14 : x
  2. Step 2: Convert to fraction form
    6,573.84/9,861.57 = 2,413.14/x
  3. Step 3: Cross multiply
    6,573.84x = 9,861.57 × 2,413.14
  4. Step 4: Simplify right side
    6,573.84x = 23,797,349.03
  5. Step 5: Solve for x
    x = 23,797,349.03/6,573.84
  6. Step 6: Final answer
    x = 3,620.01

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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.