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Finding the Fourth Proportional to 6,141.72, 9,212.58 and 5,296.08

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Solution

The fourth proportional to 6,141.72, 9,212.58 and 5,296.08 is: 7,944.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.72 : 9,212.58 = 5,296.08 : x
  2. Step 2: Convert to fraction form
    6,141.72/9,212.58 = 5,296.08/x
  3. Step 3: Cross multiply
    6,141.72x = 9,212.58 × 5,296.08
  4. Step 4: Simplify right side
    6,141.72x = 48,790,560.69
  5. Step 5: Solve for x
    x = 48,790,560.69/6,141.72
  6. Step 6: Final answer
    x = 7,944.12

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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.