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Finding the Fourth Proportional to 6,343.30, 8,744.44 and 4,449.14

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Solution

The fourth proportional to 6,343.30, 8,744.44 and 4,449.14 is: 6,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.30 : 8,744.44 = 4,449.14 : x
  2. Step 2: Convert to fraction form
    6,343.30/8,744.44 = 4,449.14/x
  3. Step 3: Cross multiply
    6,343.30x = 8,744.44 × 4,449.14
  4. Step 4: Simplify right side
    6,343.30x = 38,905,237.78
  5. Step 5: Solve for x
    x = 38,905,237.78/6,343.30
  6. Step 6: Final answer
    x = 6,133.28

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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.