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Finding the Fourth Proportional to 37,115.75, 55,676.87 and 9,413.75

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Solution

The fourth proportional to 37,115.75, 55,676.87 and 9,413.75 is: 14,121.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,115.75 : 55,676.87 = 9,413.75 : x
  2. Step 2: Convert to fraction form
    37,115.75/55,676.87 = 9,413.75/x
  3. Step 3: Cross multiply
    37,115.75x = 55,676.87 × 9,413.75
  4. Step 4: Simplify right side
    37,115.75x = 524,128,134.96
  5. Step 5: Solve for x
    x = 524,128,134.96/37,115.75
  6. Step 6: Final answer
    x = 14,121.45

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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.