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Finding the Fourth Proportional to 36,840.72, 55,261.80 and 9,138

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Solution

The fourth proportional to 36,840.72, 55,261.80 and 9,138 is: 13,707.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,840.72 : 55,261.80 = 9,138 : x
  2. Step 2: Convert to fraction form
    36,840.72/55,261.80 = 9,138/x
  3. Step 3: Cross multiply
    36,840.72x = 55,261.80 × 9,138
  4. Step 4: Simplify right side
    36,840.72x = 504,982,328.40
  5. Step 5: Solve for x
    x = 504,982,328.40/36,840.72
  6. Step 6: Final answer
    x = 13,707.18

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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.