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Finding the Fourth Proportional to 9,022.12, 12,453.03 and 6,189.95

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Solution

The fourth proportional to 9,022.12, 12,453.03 and 6,189.95 is: 8,543.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,022.12 : 12,453.03 = 6,189.95 : x
  2. Step 2: Convert to fraction form
    9,022.12/12,453.03 = 6,189.95/x
  3. Step 3: Cross multiply
    9,022.12x = 12,453.03 × 6,189.95
  4. Step 4: Simplify right side
    9,022.12x = 77,083,656.26
  5. Step 5: Solve for x
    x = 77,083,656.26/9,022.12
  6. Step 6: Final answer
    x = 8,543.86

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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.