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Finding the Fourth Proportional to 6,005.75, 9,007.81 and 3,084.08

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Solution

The fourth proportional to 6,005.75, 9,007.81 and 3,084.08 is: 4,625.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,005.75 : 9,007.81 = 3,084.08 : x
  2. Step 2: Convert to fraction form
    6,005.75/9,007.81 = 3,084.08/x
  3. Step 3: Cross multiply
    6,005.75x = 9,007.81 × 3,084.08
  4. Step 4: Simplify right side
    6,005.75x = 27,780,753.92
  5. Step 5: Solve for x
    x = 27,780,753.92/6,005.75
  6. Step 6: Final answer
    x = 4,625.70

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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.