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Finding the Fourth Proportional to 9,082.71, 13,624.29 and 2,509.11

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Solution

The fourth proportional to 9,082.71, 13,624.29 and 2,509.11 is: 3,763.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.71 : 13,624.29 = 2,509.11 : x
  2. Step 2: Convert to fraction form
    9,082.71/13,624.29 = 2,509.11/x
  3. Step 3: Cross multiply
    9,082.71x = 13,624.29 × 2,509.11
  4. Step 4: Simplify right side
    9,082.71x = 34,184,842.28
  5. Step 5: Solve for x
    x = 34,184,842.28/9,082.71
  6. Step 6: Final answer
    x = 3,763.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.