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Finding the Fourth Proportional to 7,150.14, 9,867.20 and 4,006.36

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Solution

The fourth proportional to 7,150.14, 9,867.20 and 4,006.36 is: 5,528.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.14 : 9,867.20 = 4,006.36 : x
  2. Step 2: Convert to fraction form
    7,150.14/9,867.20 = 4,006.36/x
  3. Step 3: Cross multiply
    7,150.14x = 9,867.20 × 4,006.36
  4. Step 4: Simplify right side
    7,150.14x = 39,531,555.39
  5. Step 5: Solve for x
    x = 39,531,555.39/7,150.14
  6. Step 6: Final answer
    x = 5,528.78

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.