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Finding the Fourth Proportional to 9,181.96, 13,760.59 and 5,015.72

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Solution

The fourth proportional to 9,181.96, 13,760.59 and 5,015.72 is: 7,516.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,181.96 : 13,760.59 = 5,015.72 : x
  2. Step 2: Convert to fraction form
    9,181.96/13,760.59 = 5,015.72/x
  3. Step 3: Cross multiply
    9,181.96x = 13,760.59 × 5,015.72
  4. Step 4: Simplify right side
    9,181.96x = 69,019,266.47
  5. Step 5: Solve for x
    x = 69,019,266.47/9,181.96
  6. Step 6: Final answer
    x = 7,516.83

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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.