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Finding the Fourth Proportional to 9,198.90, 12,693.33 and 5,421.24

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Solution

The fourth proportional to 9,198.90, 12,693.33 and 5,421.24 is: 7,480.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,198.90 : 12,693.33 = 5,421.24 : x
  2. Step 2: Convert to fraction form
    9,198.90/12,693.33 = 5,421.24/x
  3. Step 3: Cross multiply
    9,198.90x = 12,693.33 × 5,421.24
  4. Step 4: Simplify right side
    9,198.90x = 68,813,588.33
  5. Step 5: Solve for x
    x = 68,813,588.33/9,198.90
  6. Step 6: Final answer
    x = 7,480.63

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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.