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Finding the Fourth Proportional to 6,137.68, 9,200.96 and 2,439.06

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Solution

The fourth proportional to 6,137.68, 9,200.96 and 2,439.06 is: 3,656.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,137.68 : 9,200.96 = 2,439.06 : x
  2. Step 2: Convert to fraction form
    6,137.68/9,200.96 = 2,439.06/x
  3. Step 3: Cross multiply
    6,137.68x = 9,200.96 × 2,439.06
  4. Step 4: Simplify right side
    6,137.68x = 22,441,693.50
  5. Step 5: Solve for x
    x = 22,441,693.50/6,137.68
  6. Step 6: Final answer
    x = 3,656.38

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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.