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Finding the Fourth Proportional to 6,007.96, 9,011.84 and 3,084.58

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Solution

The fourth proportional to 6,007.96, 9,011.84 and 3,084.58 is: 4,626.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,007.96 : 9,011.84 = 3,084.58 : x
  2. Step 2: Convert to fraction form
    6,007.96/9,011.84 = 3,084.58/x
  3. Step 3: Cross multiply
    6,007.96x = 9,011.84 × 3,084.58
  4. Step 4: Simplify right side
    6,007.96x = 27,797,741.43
  5. Step 5: Solve for x
    x = 27,797,741.43/6,007.96
  6. Step 6: Final answer
    x = 4,626.82

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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.