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Finding the Fourth Proportional to 6,158.54, 9,231.82 and 4,906.08

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Solution

The fourth proportional to 6,158.54, 9,231.82 and 4,906.08 is: 7,354.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,158.54 : 9,231.82 = 4,906.08 : x
  2. Step 2: Convert to fraction form
    6,158.54/9,231.82 = 4,906.08/x
  3. Step 3: Cross multiply
    6,158.54x = 9,231.82 × 4,906.08
  4. Step 4: Simplify right side
    6,158.54x = 45,292,035.20
  5. Step 5: Solve for x
    x = 45,292,035.20/6,158.54
  6. Step 6: Final answer
    x = 7,354.34

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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.