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Finding the Fourth Proportional to 9,935.57, 13,724.36 and 6,961.25

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Solution

The fourth proportional to 9,935.57, 13,724.36 and 6,961.25 is: 9,615.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,935.57 : 13,724.36 = 6,961.25 : x
  2. Step 2: Convert to fraction form
    9,935.57/13,724.36 = 6,961.25/x
  3. Step 3: Cross multiply
    9,935.57x = 13,724.36 × 6,961.25
  4. Step 4: Simplify right side
    9,935.57x = 95,538,597.62
  5. Step 5: Solve for x
    x = 95,538,597.62/9,935.57
  6. Step 6: Final answer
    x = 9,615.82

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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.