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Finding the Fourth Proportional to 6,169.62, 9,253.14 and 2,884.26

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Solution

The fourth proportional to 6,169.62, 9,253.14 and 2,884.26 is: 4,325.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,169.62 : 9,253.14 = 2,884.26 : x
  2. Step 2: Convert to fraction form
    6,169.62/9,253.14 = 2,884.26/x
  3. Step 3: Cross multiply
    6,169.62x = 9,253.14 × 2,884.26
  4. Step 4: Simplify right side
    6,169.62x = 26,688,461.58
  5. Step 5: Solve for x
    x = 26,688,461.58/6,169.62
  6. Step 6: Final answer
    x = 4,325.79

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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.