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Finding the Fourth Proportional to 9,797.60, 13,504.96 and 7,669.52

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Solution

The fourth proportional to 9,797.60, 13,504.96 and 7,669.52 is: 10,571.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,797.60 : 13,504.96 = 7,669.52 : x
  2. Step 2: Convert to fraction form
    9,797.60/13,504.96 = 7,669.52/x
  3. Step 3: Cross multiply
    9,797.60x = 13,504.96 × 7,669.52
  4. Step 4: Simplify right side
    9,797.60x = 103,576,560.82
  5. Step 5: Solve for x
    x = 103,576,560.82/9,797.60
  6. Step 6: Final answer
    x = 10,571.63

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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.