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Finding the Fourth Proportional to 12,277.92, 16,943.12 and 6,972.96

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Solution

The fourth proportional to 12,277.92, 16,943.12 and 6,972.96 is: 9,622.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.92 : 16,943.12 = 6,972.96 : x
  2. Step 2: Convert to fraction form
    12,277.92/16,943.12 = 6,972.96/x
  3. Step 3: Cross multiply
    12,277.92x = 16,943.12 × 6,972.96
  4. Step 4: Simplify right side
    12,277.92x = 118,143,698.04
  5. Step 5: Solve for x
    x = 118,143,698.04/12,277.92
  6. Step 6: Final answer
    x = 9,622.45

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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.