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Finding the Fourth Proportional to 6,011.49, 9,016.18 and 1,627.93

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Solution

The fourth proportional to 6,011.49, 9,016.18 and 1,627.93 is: 2,441.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011.49 : 9,016.18 = 1,627.93 : x
  2. Step 2: Convert to fraction form
    6,011.49/9,016.18 = 1,627.93/x
  3. Step 3: Cross multiply
    6,011.49x = 9,016.18 × 1,627.93
  4. Step 4: Simplify right side
    6,011.49x = 14,677,709.91
  5. Step 5: Solve for x
    x = 14,677,709.91/6,011.49
  6. Step 6: Final answer
    x = 2,441.61

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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.