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Finding the Fourth Proportional to 6,124.88, 9,196.68 and 5,400.56

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Solution

The fourth proportional to 6,124.88, 9,196.68 and 5,400.56 is: 8,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.88 : 9,196.68 = 5,400.56 : x
  2. Step 2: Convert to fraction form
    6,124.88/9,196.68 = 5,400.56/x
  3. Step 3: Cross multiply
    6,124.88x = 9,196.68 × 5,400.56
  4. Step 4: Simplify right side
    6,124.88x = 49,667,222.14
  5. Step 5: Solve for x
    x = 49,667,222.14/6,124.88
  6. Step 6: Final answer
    x = 8,109.09

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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.