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Finding the Fourth Proportional to 37,202.36, 55,803.64 and 9,122.54

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Solution

The fourth proportional to 37,202.36, 55,803.64 and 9,122.54 is: 13,683.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,202.36 : 55,803.64 = 9,122.54 : x
  2. Step 2: Convert to fraction form
    37,202.36/55,803.64 = 9,122.54/x
  3. Step 3: Cross multiply
    37,202.36x = 55,803.64 × 9,122.54
  4. Step 4: Simplify right side
    37,202.36x = 509,070,938.05
  5. Step 5: Solve for x
    x = 509,070,938.05/37,202.36
  6. Step 6: Final answer
    x = 13,683.83

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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.