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Finding the Fourth Proportional to 7,934.43, 10,941.96 and 4,747.22

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Solution

The fourth proportional to 7,934.43, 10,941.96 and 4,747.22 is: 6,546.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,934.43 : 10,941.96 = 4,747.22 : x
  2. Step 2: Convert to fraction form
    7,934.43/10,941.96 = 4,747.22/x
  3. Step 3: Cross multiply
    7,934.43x = 10,941.96 × 4,747.22
  4. Step 4: Simplify right side
    7,934.43x = 51,943,836.64
  5. Step 5: Solve for x
    x = 51,943,836.64/7,934.43
  6. Step 6: Final answer
    x = 6,546.64

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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.