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Finding the Fourth Proportional to 6,125.68, 9,191.56 and 2,427.83

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Solution

The fourth proportional to 6,125.68, 9,191.56 and 2,427.83 is: 3,642.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,125.68 : 9,191.56 = 2,427.83 : x
  2. Step 2: Convert to fraction form
    6,125.68/9,191.56 = 2,427.83/x
  3. Step 3: Cross multiply
    6,125.68x = 9,191.56 × 2,427.83
  4. Step 4: Simplify right side
    6,125.68x = 22,315,504.58
  5. Step 5: Solve for x
    x = 22,315,504.58/6,125.68
  6. Step 6: Final answer
    x = 3,642.94

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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.