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Finding the Fourth Proportional to 6,413.04, 9,617.22 and 2,715.57

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Solution

The fourth proportional to 6,413.04, 9,617.22 and 2,715.57 is: 4,072.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,413.04 : 9,617.22 = 2,715.57 : x
  2. Step 2: Convert to fraction form
    6,413.04/9,617.22 = 2,715.57/x
  3. Step 3: Cross multiply
    6,413.04x = 9,617.22 × 2,715.57
  4. Step 4: Simplify right side
    6,413.04x = 26,116,234.12
  5. Step 5: Solve for x
    x = 26,116,234.12/6,413.04
  6. Step 6: Final answer
    x = 4,072.36

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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.