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Finding the Fourth Proportional to 6,123.72, 9,202.14 and 3,204.18

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Solution

The fourth proportional to 6,123.72, 9,202.14 and 3,204.18 is: 4,814.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,123.72 : 9,202.14 = 3,204.18 : x
  2. Step 2: Convert to fraction form
    6,123.72/9,202.14 = 3,204.18/x
  3. Step 3: Cross multiply
    6,123.72x = 9,202.14 × 3,204.18
  4. Step 4: Simplify right side
    6,123.72x = 29,485,312.95
  5. Step 5: Solve for x
    x = 29,485,312.95/6,123.72
  6. Step 6: Final answer
    x = 4,814.93

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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.