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Finding the Fourth Proportional to 9,082.23, 13,624.13 and 2,508.42

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Solution

The fourth proportional to 9,082.23, 13,624.13 and 2,508.42 is: 3,762.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,082.23 : 13,624.13 = 2,508.42 : x
  2. Step 2: Convert to fraction form
    9,082.23/13,624.13 = 2,508.42/x
  3. Step 3: Cross multiply
    9,082.23x = 13,624.13 × 2,508.42
  4. Step 4: Simplify right side
    9,082.23x = 34,174,959.51
  5. Step 5: Solve for x
    x = 34,174,959.51/9,082.23
  6. Step 6: Final answer
    x = 3,762.84

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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.