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Finding the Fourth Proportional to 6,744.88, 9,308 and 4,391.20

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Solution

The fourth proportional to 6,744.88, 9,308 and 4,391.20 is: 6,059.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,744.88 : 9,308 = 4,391.20 : x
  2. Step 2: Convert to fraction form
    6,744.88/9,308 = 4,391.20/x
  3. Step 3: Cross multiply
    6,744.88x = 9,308 × 4,391.20
  4. Step 4: Simplify right side
    6,744.88x = 40,873,289.60
  5. Step 5: Solve for x
    x = 40,873,289.60/6,744.88
  6. Step 6: Final answer
    x = 6,059.90

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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.