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Finding the Fourth Proportional to 6,115.42, 9,167.86 and 2,602.21

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Solution

The fourth proportional to 6,115.42, 9,167.86 and 2,602.21 is: 3,901.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,115.42 : 9,167.86 = 2,602.21 : x
  2. Step 2: Convert to fraction form
    6,115.42/9,167.86 = 2,602.21/x
  3. Step 3: Cross multiply
    6,115.42x = 9,167.86 × 2,602.21
  4. Step 4: Simplify right side
    6,115.42x = 23,856,696.97
  5. Step 5: Solve for x
    x = 23,856,696.97/6,115.42
  6. Step 6: Final answer
    x = 3,901.07

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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.