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Finding the Fourth Proportional to 37,262.81, 55,893.72 and 9,183.20

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Solution

The fourth proportional to 37,262.81, 55,893.72 and 9,183.20 is: 13,774.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,262.81 : 55,893.72 = 9,183.20 : x
  2. Step 2: Convert to fraction form
    37,262.81/55,893.72 = 9,183.20/x
  3. Step 3: Cross multiply
    37,262.81x = 55,893.72 × 9,183.20
  4. Step 4: Simplify right side
    37,262.81x = 513,283,209.50
  5. Step 5: Solve for x
    x = 513,283,209.50/37,262.81
  6. Step 6: Final answer
    x = 13,774.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.