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Finding the Fourth Proportional to 9,189.95, 12,682.22 and 4,998.20

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Solution

The fourth proportional to 9,189.95, 12,682.22 and 4,998.20 is: 6,897.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,189.95 : 12,682.22 = 4,998.20 : x
  2. Step 2: Convert to fraction form
    9,189.95/12,682.22 = 4,998.20/x
  3. Step 3: Cross multiply
    9,189.95x = 12,682.22 × 4,998.20
  4. Step 4: Simplify right side
    9,189.95x = 63,388,183.60
  5. Step 5: Solve for x
    x = 63,388,183.60/9,189.95
  6. Step 6: Final answer
    x = 6,897.56

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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.