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Finding the Fourth Proportional to 11,198.34, 15,451.05 and 9,412.59

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Solution

The fourth proportional to 11,198.34, 15,451.05 and 9,412.59 is: 12,987.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,198.34 : 15,451.05 = 9,412.59 : x
  2. Step 2: Convert to fraction form
    11,198.34/15,451.05 = 9,412.59/x
  3. Step 3: Cross multiply
    11,198.34x = 15,451.05 × 9,412.59
  4. Step 4: Simplify right side
    11,198.34x = 145,434,398.72
  5. Step 5: Solve for x
    x = 145,434,398.72/11,198.34
  6. Step 6: Final answer
    x = 12,987.14

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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.