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Finding the Fourth Proportional to 12,466.36, 17,209.92 and 9,627.36

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Solution

The fourth proportional to 12,466.36, 17,209.92 and 9,627.36 is: 13,290.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,466.36 : 17,209.92 = 9,627.36 : x
  2. Step 2: Convert to fraction form
    12,466.36/17,209.92 = 9,627.36/x
  3. Step 3: Cross multiply
    12,466.36x = 17,209.92 × 9,627.36
  4. Step 4: Simplify right side
    12,466.36x = 165,686,095.41
  5. Step 5: Solve for x
    x = 165,686,095.41/12,466.36
  6. Step 6: Final answer
    x = 13,290.66

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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.