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Finding the Fourth Proportional to 9,392.63, 12,961.82 and 5,200.88

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Solution

The fourth proportional to 9,392.63, 12,961.82 and 5,200.88 is: 7,177.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,392.63 : 12,961.82 = 5,200.88 : x
  2. Step 2: Convert to fraction form
    9,392.63/12,961.82 = 5,200.88/x
  3. Step 3: Cross multiply
    9,392.63x = 12,961.82 × 5,200.88
  4. Step 4: Simplify right side
    9,392.63x = 67,412,818.59
  5. Step 5: Solve for x
    x = 67,412,818.59/9,392.63
  6. Step 6: Final answer
    x = 7,177.21

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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.