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Finding the Fourth Proportional to 7,309.44, 10,954.44 and 6,330.96

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Solution

The fourth proportional to 7,309.44, 10,954.44 and 6,330.96 is: 9,488.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,309.44 : 10,954.44 = 6,330.96 : x
  2. Step 2: Convert to fraction form
    7,309.44/10,954.44 = 6,330.96/x
  3. Step 3: Cross multiply
    7,309.44x = 10,954.44 × 6,330.96
  4. Step 4: Simplify right side
    7,309.44x = 69,352,121.46
  5. Step 5: Solve for x
    x = 69,352,121.46/7,309.44
  6. Step 6: Final answer
    x = 9,488.02

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.