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Finding the Fourth Proportional to 6,157.41, 9,238.39 and 4,416.31

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Solution

The fourth proportional to 6,157.41, 9,238.39 and 4,416.31 is: 6,626.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,157.41 : 9,238.39 = 4,416.31 : x
  2. Step 2: Convert to fraction form
    6,157.41/9,238.39 = 4,416.31/x
  3. Step 3: Cross multiply
    6,157.41x = 9,238.39 × 4,416.31
  4. Step 4: Simplify right side
    6,157.41x = 40,799,594.14
  5. Step 5: Solve for x
    x = 40,799,594.14/6,157.41
  6. Step 6: Final answer
    x = 6,626.10

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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.