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Finding the Fourth Proportional to 9,027.68, 13,539.86 and 4,096.14

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Solution

The fourth proportional to 9,027.68, 13,539.86 and 4,096.14 is: 6,143.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,027.68 : 13,539.86 = 4,096.14 : x
  2. Step 2: Convert to fraction form
    9,027.68/13,539.86 = 4,096.14/x
  3. Step 3: Cross multiply
    9,027.68x = 13,539.86 × 4,096.14
  4. Step 4: Simplify right side
    9,027.68x = 55,461,162.14
  5. Step 5: Solve for x
    x = 55,461,162.14/9,027.68
  6. Step 6: Final answer
    x = 6,143.46

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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.