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Finding the Fourth Proportional to 6,138.86, 9,208.30 and 3,020.34

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Solution

The fourth proportional to 6,138.86, 9,208.30 and 3,020.34 is: 4,530.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,138.86 : 9,208.30 = 3,020.34 : x
  2. Step 2: Convert to fraction form
    6,138.86/9,208.30 = 3,020.34/x
  3. Step 3: Cross multiply
    6,138.86x = 9,208.30 × 3,020.34
  4. Step 4: Simplify right side
    6,138.86x = 27,812,164.93
  5. Step 5: Solve for x
    x = 27,812,164.93/6,138.86
  6. Step 6: Final answer
    x = 4,530.51

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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.