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Finding the Fourth Proportional to 6,124.68, 9,185.40 and 2,231.82

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Solution

The fourth proportional to 6,124.68, 9,185.40 and 2,231.82 is: 3,347.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,124.68 : 9,185.40 = 2,231.82 : x
  2. Step 2: Convert to fraction form
    6,124.68/9,185.40 = 2,231.82/x
  3. Step 3: Cross multiply
    6,124.68x = 9,185.40 × 2,231.82
  4. Step 4: Simplify right side
    6,124.68x = 20,500,159.43
  5. Step 5: Solve for x
    x = 20,500,159.43/6,124.68
  6. Step 6: Final answer
    x = 3,347.14

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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.