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Finding the Fourth Proportional to 9,181.56, 13,763.13 and 5,012.94

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Solution

The fourth proportional to 9,181.56, 13,763.13 and 5,012.94 is: 7,514.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.56 : 13,763.13 = 5,012.94 : x
  2. Step 2: Convert to fraction form
    9,181.56/13,763.13 = 5,012.94/x
  3. Step 3: Cross multiply
    9,181.56x = 13,763.13 × 5,012.94
  4. Step 4: Simplify right side
    9,181.56x = 68,993,744.90
  5. Step 5: Solve for x
    x = 68,993,744.90/9,181.56
  6. Step 6: Final answer
    x = 7,514.38

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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.