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Finding the Fourth Proportional to 6,144.14, 9,160.95 and 6,033.39

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Solution

The fourth proportional to 6,144.14, 9,160.95 and 6,033.39 is: 8,995.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,144.14 : 9,160.95 = 6,033.39 : x
  2. Step 2: Convert to fraction form
    6,144.14/9,160.95 = 6,033.39/x
  3. Step 3: Cross multiply
    6,144.14x = 9,160.95 × 6,033.39
  4. Step 4: Simplify right side
    6,144.14x = 55,271,584.12
  5. Step 5: Solve for x
    x = 55,271,584.12/6,144.14
  6. Step 6: Final answer
    x = 8,995.83

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.