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Finding the Fourth Proportional to 7,166.19, 9,889.31 and 4,022.39

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Solution

The fourth proportional to 7,166.19, 9,889.31 and 4,022.39 is: 5,550.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.19 : 9,889.31 = 4,022.39 : x
  2. Step 2: Convert to fraction form
    7,166.19/9,889.31 = 4,022.39/x
  3. Step 3: Cross multiply
    7,166.19x = 9,889.31 × 4,022.39
  4. Step 4: Simplify right side
    7,166.19x = 39,778,592.09
  5. Step 5: Solve for x
    x = 39,778,592.09/7,166.19
  6. Step 6: Final answer
    x = 5,550.87

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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.