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Finding the Fourth Proportional to 6,161.85, 9,237.24 and 2,265.30

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Solution

The fourth proportional to 6,161.85, 9,237.24 and 2,265.30 is: 3,395.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,161.85 : 9,237.24 = 2,265.30 : x
  2. Step 2: Convert to fraction form
    6,161.85/9,237.24 = 2,265.30/x
  3. Step 3: Cross multiply
    6,161.85x = 9,237.24 × 2,265.30
  4. Step 4: Simplify right side
    6,161.85x = 20,925,119.77
  5. Step 5: Solve for x
    x = 20,925,119.77/6,161.85
  6. Step 6: Final answer
    x = 3,395.92

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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.