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Finding the Fourth Proportional to 9,134.96, 13,684.73 and 6,005.52

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Solution

The fourth proportional to 9,134.96, 13,684.73 and 6,005.52 is: 8,996.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,134.96 : 13,684.73 = 6,005.52 : x
  2. Step 2: Convert to fraction form
    9,134.96/13,684.73 = 6,005.52/x
  3. Step 3: Cross multiply
    9,134.96x = 13,684.73 × 6,005.52
  4. Step 4: Simplify right side
    9,134.96x = 82,183,889.68
  5. Step 5: Solve for x
    x = 82,183,889.68/9,134.96
  6. Step 6: Final answer
    x = 8,996.64

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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.