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Finding the Fourth Proportional to 12,413.01, 17,129.85 and 6,747.75

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Solution

The fourth proportional to 12,413.01, 17,129.85 and 6,747.75 is: 9,311.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,413.01 : 17,129.85 = 6,747.75 : x
  2. Step 2: Convert to fraction form
    12,413.01/17,129.85 = 6,747.75/x
  3. Step 3: Cross multiply
    12,413.01x = 17,129.85 × 6,747.75
  4. Step 4: Simplify right side
    12,413.01x = 115,587,945.34
  5. Step 5: Solve for x
    x = 115,587,945.34/12,413.01
  6. Step 6: Final answer
    x = 9,311.84

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.