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Finding the Fourth Proportional to 9,836.20, 13,573.78 and 5,359.98

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Solution

The fourth proportional to 9,836.20, 13,573.78 and 5,359.98 is: 7,396.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,836.20 : 13,573.78 = 5,359.98 : x
  2. Step 2: Convert to fraction form
    9,836.20/13,573.78 = 5,359.98/x
  3. Step 3: Cross multiply
    9,836.20x = 13,573.78 × 5,359.98
  4. Step 4: Simplify right side
    9,836.20x = 72,755,189.32
  5. Step 5: Solve for x
    x = 72,755,189.32/9,836.20
  6. Step 6: Final answer
    x = 7,396.68

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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.