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Finding the Fourth Proportional to 12,277.62, 16,943.24 and 6,972.55

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Solution

The fourth proportional to 12,277.62, 16,943.24 and 6,972.55 is: 9,622.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.62 : 16,943.24 = 6,972.55 : x
  2. Step 2: Convert to fraction form
    12,277.62/16,943.24 = 6,972.55/x
  3. Step 3: Cross multiply
    12,277.62x = 16,943.24 × 6,972.55
  4. Step 4: Simplify right side
    12,277.62x = 118,137,563.14
  5. Step 5: Solve for x
    x = 118,137,563.14/12,277.62
  6. Step 6: Final answer
    x = 9,622.19

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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.