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Finding the Fourth Proportional to 36,937.75, 55,406.63 and 9,235.75

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Solution

The fourth proportional to 36,937.75, 55,406.63 and 9,235.75 is: 13,853.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,937.75 : 55,406.63 = 9,235.75 : x
  2. Step 2: Convert to fraction form
    36,937.75/55,406.63 = 9,235.75/x
  3. Step 3: Cross multiply
    36,937.75x = 55,406.63 × 9,235.75
  4. Step 4: Simplify right side
    36,937.75x = 511,721,783.02
  5. Step 5: Solve for x
    x = 511,721,783.02/36,937.75
  6. Step 6: Final answer
    x = 13,853.63

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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.