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Finding the Fourth Proportional to 6,202.56, 9,308.48 and 4,341.44

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Solution

The fourth proportional to 6,202.56, 9,308.48 and 4,341.44 is: 6,515.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,202.56 : 9,308.48 = 4,341.44 : x
  2. Step 2: Convert to fraction form
    6,202.56/9,308.48 = 4,341.44/x
  3. Step 3: Cross multiply
    6,202.56x = 9,308.48 × 4,341.44
  4. Step 4: Simplify right side
    6,202.56x = 40,412,207.41
  5. Step 5: Solve for x
    x = 40,412,207.41/6,202.56
  6. Step 6: Final answer
    x = 6,515.41

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