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Finding the Fourth Proportional to 9,926.45, 13,697.49 and 5,947.46

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Solution

The fourth proportional to 9,926.45, 13,697.49 and 5,947.46 is: 8,206.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.45 : 13,697.49 = 5,947.46 : x
  2. Step 2: Convert to fraction form
    9,926.45/13,697.49 = 5,947.46/x
  3. Step 3: Cross multiply
    9,926.45x = 13,697.49 × 5,947.46
  4. Step 4: Simplify right side
    9,926.45x = 81,465,273.88
  5. Step 5: Solve for x
    x = 81,465,273.88/9,926.45
  6. Step 6: Final answer
    x = 8,206.89

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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.