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Finding the Fourth Proportional to 9,181.38, 13,780.05 and 5,025.18

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Solution

The fourth proportional to 9,181.38, 13,780.05 and 5,025.18 is: 7,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.38 : 13,780.05 = 5,025.18 : x
  2. Step 2: Convert to fraction form
    9,181.38/13,780.05 = 5,025.18/x
  3. Step 3: Cross multiply
    9,181.38x = 13,780.05 × 5,025.18
  4. Step 4: Simplify right side
    9,181.38x = 69,247,231.66
  5. Step 5: Solve for x
    x = 69,247,231.66/9,181.38
  6. Step 6: Final answer
    x = 7,542.14

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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.