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Finding the Fourth Proportional to 9,635.88, 13,296.74 and 5,653.80

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Solution

The fourth proportional to 9,635.88, 13,296.74 and 5,653.80 is: 7,801.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,635.88 : 13,296.74 = 5,653.80 : x
  2. Step 2: Convert to fraction form
    9,635.88/13,296.74 = 5,653.80/x
  3. Step 3: Cross multiply
    9,635.88x = 13,296.74 × 5,653.80
  4. Step 4: Simplify right side
    9,635.88x = 75,177,108.61
  5. Step 5: Solve for x
    x = 75,177,108.61/9,635.88
  6. Step 6: Final answer
    x = 7,801.79

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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.