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Finding the Fourth Proportional to 7,166.02, 9,889.14 and 4,022.20

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Solution

The fourth proportional to 7,166.02, 9,889.14 and 4,022.20 is: 5,550.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,166.02 : 9,889.14 = 4,022.20 : x
  2. Step 2: Convert to fraction form
    7,166.02/9,889.14 = 4,022.20/x
  3. Step 3: Cross multiply
    7,166.02x = 9,889.14 × 4,022.20
  4. Step 4: Simplify right side
    7,166.02x = 39,776,098.91
  5. Step 5: Solve for x
    x = 39,776,098.91/7,166.02
  6. Step 6: Final answer
    x = 5,550.65

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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.