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Finding the Fourth Proportional to 12,278.71, 16,943.07 and 6,972.40

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Solution

The fourth proportional to 12,278.71, 16,943.07 and 6,972.40 is: 9,621.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,278.71 : 16,943.07 = 6,972.40 : x
  2. Step 2: Convert to fraction form
    12,278.71/16,943.07 = 6,972.40/x
  3. Step 3: Cross multiply
    12,278.71x = 16,943.07 × 6,972.40
  4. Step 4: Simplify right side
    12,278.71x = 118,133,861.27
  5. Step 5: Solve for x
    x = 118,133,861.27/12,278.71
  6. Step 6: Final answer
    x = 9,621.03

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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.