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Finding the Fourth Proportional to 9,324.34, 13,987.86 and 3,082.22

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Solution

The fourth proportional to 9,324.34, 13,987.86 and 3,082.22 is: 4,623.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,324.34 : 13,987.86 = 3,082.22 : x
  2. Step 2: Convert to fraction form
    9,324.34/13,987.86 = 3,082.22/x
  3. Step 3: Cross multiply
    9,324.34x = 13,987.86 × 3,082.22
  4. Step 4: Simplify right side
    9,324.34x = 43,113,661.85
  5. Step 5: Solve for x
    x = 43,113,661.85/9,324.34
  6. Step 6: Final answer
    x = 4,623.78

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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.