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Finding the Fourth Proportional to 9,212.68, 13,815.42 and 4,015

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Solution

The fourth proportional to 9,212.68, 13,815.42 and 4,015 is: 6,020.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,212.68 : 13,815.42 = 4,015 : x
  2. Step 2: Convert to fraction form
    9,212.68/13,815.42 = 4,015/x
  3. Step 3: Cross multiply
    9,212.68x = 13,815.42 × 4,015
  4. Step 4: Simplify right side
    9,212.68x = 55,468,911.30
  5. Step 5: Solve for x
    x = 55,468,911.30/9,212.68
  6. Step 6: Final answer
    x = 6,020.93

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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.