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Finding the Fourth Proportional to 11,214.39, 15,466.77 and 9,867.09

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Solution

The fourth proportional to 11,214.39, 15,466.77 and 9,867.09 is: 13,608.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,214.39 : 15,466.77 = 9,867.09 : x
  2. Step 2: Convert to fraction form
    11,214.39/15,466.77 = 9,867.09/x
  3. Step 3: Cross multiply
    11,214.39x = 15,466.77 × 9,867.09
  4. Step 4: Simplify right side
    11,214.39x = 152,612,011.60
  5. Step 5: Solve for x
    x = 152,612,011.60/11,214.39
  6. Step 6: Final answer
    x = 13,608.59

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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.