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Finding the Fourth Proportional to 6,141.40, 9,192.90 and 4,413.40

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Solution

The fourth proportional to 6,141.40, 9,192.90 and 4,413.40 is: 6,606.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.40 : 9,192.90 = 4,413.40 : x
  2. Step 2: Convert to fraction form
    6,141.40/9,192.90 = 4,413.40/x
  3. Step 3: Cross multiply
    6,141.40x = 9,192.90 × 4,413.40
  4. Step 4: Simplify right side
    6,141.40x = 40,571,944.86
  5. Step 5: Solve for x
    x = 40,571,944.86/6,141.40
  6. Step 6: Final answer
    x = 6,606.30

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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.