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Finding the Fourth Proportional to 9,082.88, 13,615.68 and 5,786.72

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Solution

The fourth proportional to 9,082.88, 13,615.68 and 5,786.72 is: 8,674.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.88 : 13,615.68 = 5,786.72 : x
  2. Step 2: Convert to fraction form
    9,082.88/13,615.68 = 5,786.72/x
  3. Step 3: Cross multiply
    9,082.88x = 13,615.68 × 5,786.72
  4. Step 4: Simplify right side
    9,082.88x = 78,790,127.77
  5. Step 5: Solve for x
    x = 78,790,127.77/9,082.88
  6. Step 6: Final answer
    x = 8,674.58

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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.