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Finding the Fourth Proportional to 9,181.14, 12,669.93 and 5,202.96

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Solution

The fourth proportional to 9,181.14, 12,669.93 and 5,202.96 is: 7,180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.14 : 12,669.93 = 5,202.96 : x
  2. Step 2: Convert to fraction form
    9,181.14/12,669.93 = 5,202.96/x
  3. Step 3: Cross multiply
    9,181.14x = 12,669.93 × 5,202.96
  4. Step 4: Simplify right side
    9,181.14x = 65,921,138.99
  5. Step 5: Solve for x
    x = 65,921,138.99/9,181.14
  6. Step 6: Final answer
    x = 7,180.06

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.