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Finding the Fourth Proportional to 9,113.30, 12,494.33 and 8,947.22

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Solution

The fourth proportional to 9,113.30, 12,494.33 and 8,947.22 is: 12,266.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,113.30 : 12,494.33 = 8,947.22 : x
  2. Step 2: Convert to fraction form
    9,113.30/12,494.33 = 8,947.22/x
  3. Step 3: Cross multiply
    9,113.30x = 12,494.33 × 8,947.22
  4. Step 4: Simplify right side
    9,113.30x = 111,789,519.26
  5. Step 5: Solve for x
    x = 111,789,519.26/9,113.30
  6. Step 6: Final answer
    x = 12,266.63

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.