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Finding the Fourth Proportional to 6,138.98, 9,197.46 and 3,730.32

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Solution

The fourth proportional to 6,138.98, 9,197.46 and 3,730.32 is: 5,588.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.98 : 9,197.46 = 3,730.32 : x
  2. Step 2: Convert to fraction form
    6,138.98/9,197.46 = 3,730.32/x
  3. Step 3: Cross multiply
    6,138.98x = 9,197.46 × 3,730.32
  4. Step 4: Simplify right side
    6,138.98x = 34,309,445.99
  5. Step 5: Solve for x
    x = 34,309,445.99/6,138.98
  6. Step 6: Final answer
    x = 5,588.79

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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.