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Finding the Fourth Proportional to 9,799.71, 13,524.60 and 5,768.12

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Solution

The fourth proportional to 9,799.71, 13,524.60 and 5,768.12 is: 7,960.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,799.71 : 13,524.60 = 5,768.12 : x
  2. Step 2: Convert to fraction form
    9,799.71/13,524.60 = 5,768.12/x
  3. Step 3: Cross multiply
    9,799.71x = 13,524.60 × 5,768.12
  4. Step 4: Simplify right side
    9,799.71x = 78,011,515.75
  5. Step 5: Solve for x
    x = 78,011,515.75/9,799.71
  6. Step 6: Final answer
    x = 7,960.59

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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.