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Finding the Fourth Proportional to 6,185.40, 9,276.30 and 3,413.40

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Solution

The fourth proportional to 6,185.40, 9,276.30 and 3,413.40 is: 5,119.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,185.40 : 9,276.30 = 3,413.40 : x
  2. Step 2: Convert to fraction form
    6,185.40/9,276.30 = 3,413.40/x
  3. Step 3: Cross multiply
    6,185.40x = 9,276.30 × 3,413.40
  4. Step 4: Simplify right side
    6,185.40x = 31,663,722.42
  5. Step 5: Solve for x
    x = 31,663,722.42/6,185.40
  6. Step 6: Final answer
    x = 5,119.11

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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.