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Finding the Fourth Proportional to 6,133.93, 9,202.11 and 2,437.90

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Solution

The fourth proportional to 6,133.93, 9,202.11 and 2,437.90 is: 3,657.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,133.93 : 9,202.11 = 2,437.90 : x
  2. Step 2: Convert to fraction form
    6,133.93/9,202.11 = 2,437.90/x
  3. Step 3: Cross multiply
    6,133.93x = 9,202.11 × 2,437.90
  4. Step 4: Simplify right side
    6,133.93x = 22,433,823.97
  5. Step 5: Solve for x
    x = 22,433,823.97/6,133.93
  6. Step 6: Final answer
    x = 3,657.33

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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.