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Finding the Fourth Proportional to 6,100.93, 9,154.46 and 2,405.81

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Solution

The fourth proportional to 6,100.93, 9,154.46 and 2,405.81 is: 3,609.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,100.93 : 9,154.46 = 2,405.81 : x
  2. Step 2: Convert to fraction form
    6,100.93/9,154.46 = 2,405.81/x
  3. Step 3: Cross multiply
    6,100.93x = 9,154.46 × 2,405.81
  4. Step 4: Simplify right side
    6,100.93x = 22,023,891.41
  5. Step 5: Solve for x
    x = 22,023,891.41/6,100.93
  6. Step 6: Final answer
    x = 3,609.92

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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.