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Finding the Fourth Proportional to 7,944.30, 10,938.21 and 6,746.79

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Solution

The fourth proportional to 7,944.30, 10,938.21 and 6,746.79 is: 9,289.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,944.30 : 10,938.21 = 6,746.79 : x
  2. Step 2: Convert to fraction form
    7,944.30/10,938.21 = 6,746.79/x
  3. Step 3: Cross multiply
    7,944.30x = 10,938.21 × 6,746.79
  4. Step 4: Simplify right side
    7,944.30x = 73,797,805.85
  5. Step 5: Solve for x
    x = 73,797,805.85/7,944.30
  6. Step 6: Final answer
    x = 9,289.40

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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.