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Finding the Fourth Proportional to 12,282.72, 16,949.76 and 6,978.72

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Solution

The fourth proportional to 12,282.72, 16,949.76 and 6,978.72 is: 9,630.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,282.72 : 16,949.76 = 6,978.72 : x
  2. Step 2: Convert to fraction form
    12,282.72/16,949.76 = 6,978.72/x
  3. Step 3: Cross multiply
    12,282.72x = 16,949.76 × 6,978.72
  4. Step 4: Simplify right side
    12,282.72x = 118,287,629.11
  5. Step 5: Solve for x
    x = 118,287,629.11/12,282.72
  6. Step 6: Final answer
    x = 9,630.41

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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.