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Finding the Fourth Proportional to 6,343.56, 8,749.44 and 4,354.20

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Solution

The fourth proportional to 6,343.56, 8,749.44 and 4,354.20 is: 6,005.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,343.56 : 8,749.44 = 4,354.20 : x
  2. Step 2: Convert to fraction form
    6,343.56/8,749.44 = 4,354.20/x
  3. Step 3: Cross multiply
    6,343.56x = 8,749.44 × 4,354.20
  4. Step 4: Simplify right side
    6,343.56x = 38,096,811.65
  5. Step 5: Solve for x
    x = 38,096,811.65/6,343.56
  6. Step 6: Final answer
    x = 6,005.59

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