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Finding the Fourth Proportional to 12,283.49, 16,949.17 and 6,976.37

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Solution

The fourth proportional to 12,283.49, 16,949.17 and 6,976.37 is: 9,626.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,283.49 : 16,949.17 = 6,976.37 : x
  2. Step 2: Convert to fraction form
    12,283.49/16,949.17 = 6,976.37/x
  3. Step 3: Cross multiply
    12,283.49x = 16,949.17 × 6,976.37
  4. Step 4: Simplify right side
    12,283.49x = 118,243,681.11
  5. Step 5: Solve for x
    x = 118,243,681.11/12,283.49
  6. Step 6: Final answer
    x = 9,626.23

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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.