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Finding the Fourth Proportional to 12,277.81, 16,943.49 and 6,972.66

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Solution

The fourth proportional to 12,277.81, 16,943.49 and 6,972.66 is: 9,622.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,277.81 : 16,943.49 = 6,972.66 : x
  2. Step 2: Convert to fraction form
    12,277.81/16,943.49 = 6,972.66/x
  3. Step 3: Cross multiply
    12,277.81x = 16,943.49 × 6,972.66
  4. Step 4: Simplify right side
    12,277.81x = 118,141,160.12
  5. Step 5: Solve for x
    x = 118,141,160.12/12,277.81
  6. Step 6: Final answer
    x = 9,622.34

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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.