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Finding the Fourth Proportional to 12,564.21, 17,339.09 and 6,976.29

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Solution

The fourth proportional to 12,564.21, 17,339.09 and 6,976.29 is: 9,627.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,564.21 : 17,339.09 = 6,976.29 : x
  2. Step 2: Convert to fraction form
    12,564.21/17,339.09 = 6,976.29/x
  3. Step 3: Cross multiply
    12,564.21x = 17,339.09 × 6,976.29
  4. Step 4: Simplify right side
    12,564.21x = 120,962,485.29
  5. Step 5: Solve for x
    x = 120,962,485.29/12,564.21
  6. Step 6: Final answer
    x = 9,627.54

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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.