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Finding the Fourth Proportional to 10,271.84, 14,179.44 and 6,738.08

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Solution

The fourth proportional to 10,271.84, 14,179.44 and 6,738.08 is: 9,301.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,271.84 : 14,179.44 = 6,738.08 : x
  2. Step 2: Convert to fraction form
    10,271.84/14,179.44 = 6,738.08/x
  3. Step 3: Cross multiply
    10,271.84x = 14,179.44 × 6,738.08
  4. Step 4: Simplify right side
    10,271.84x = 95,542,201.08
  5. Step 5: Solve for x
    x = 95,542,201.08/10,271.84
  6. Step 6: Final answer
    x = 9,301.37

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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.