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Finding the Fourth Proportional to 9,082.65, 13,623.99 and 2,509.35

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Solution

The fourth proportional to 9,082.65, 13,623.99 and 2,509.35 is: 3,764.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.65 : 13,623.99 = 2,509.35 : x
  2. Step 2: Convert to fraction form
    9,082.65/13,623.99 = 2,509.35/x
  3. Step 3: Cross multiply
    9,082.65x = 13,623.99 × 2,509.35
  4. Step 4: Simplify right side
    9,082.65x = 34,187,359.31
  5. Step 5: Solve for x
    x = 34,187,359.31/9,082.65
  6. Step 6: Final answer
    x = 3,764.03

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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.