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Finding the Fourth Proportional to 7,099.50, 9,797.31 and 3,955.62

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Solution

The fourth proportional to 7,099.50, 9,797.31 and 3,955.62 is: 5,458.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,099.50 : 9,797.31 = 3,955.62 : x
  2. Step 2: Convert to fraction form
    7,099.50/9,797.31 = 3,955.62/x
  3. Step 3: Cross multiply
    7,099.50x = 9,797.31 × 3,955.62
  4. Step 4: Simplify right side
    7,099.50x = 38,754,435.38
  5. Step 5: Solve for x
    x = 38,754,435.38/7,099.50
  6. Step 6: Final answer
    x = 5,458.76

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.