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Finding the Fourth Proportional to 37,201.96, 55,801.77 and 9,122.10

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Solution

The fourth proportional to 37,201.96, 55,801.77 and 9,122.10 is: 13,682.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,201.96 : 55,801.77 = 9,122.10 : x
  2. Step 2: Convert to fraction form
    37,201.96/55,801.77 = 9,122.10/x
  3. Step 3: Cross multiply
    37,201.96x = 55,801.77 × 9,122.10
  4. Step 4: Simplify right side
    37,201.96x = 509,029,326.12
  5. Step 5: Solve for x
    x = 509,029,326.12/37,201.96
  6. Step 6: Final answer
    x = 13,682.86

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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.