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Finding the Fourth Proportional to 9,659.45, 13,329.81 and 5,680.82

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Solution

The fourth proportional to 9,659.45, 13,329.81 and 5,680.82 is: 7,839.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,659.45 : 13,329.81 = 5,680.82 : x
  2. Step 2: Convert to fraction form
    9,659.45/13,329.81 = 5,680.82/x
  3. Step 3: Cross multiply
    9,659.45x = 13,329.81 × 5,680.82
  4. Step 4: Simplify right side
    9,659.45x = 75,724,251.24
  5. Step 5: Solve for x
    x = 75,724,251.24/9,659.45
  6. Step 6: Final answer
    x = 7,839.40

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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.