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Finding the Fourth Proportional to 9,926.88, 13,694.28 and 5,947.20

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Solution

The fourth proportional to 9,926.88, 13,694.28 and 5,947.20 is: 8,204.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,926.88 : 13,694.28 = 5,947.20 : x
  2. Step 2: Convert to fraction form
    9,926.88/13,694.28 = 5,947.20/x
  3. Step 3: Cross multiply
    9,926.88x = 13,694.28 × 5,947.20
  4. Step 4: Simplify right side
    9,926.88x = 81,442,622.02
  5. Step 5: Solve for x
    x = 81,442,622.02/9,926.88
  6. Step 6: Final answer
    x = 8,204.25

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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.