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Finding the Fourth Proportional to 6,201.50, 8,553.40 and 5,022.14

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Solution

The fourth proportional to 6,201.50, 8,553.40 and 5,022.14 is: 6,926.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.50 : 8,553.40 = 5,022.14 : x
  2. Step 2: Convert to fraction form
    6,201.50/8,553.40 = 5,022.14/x
  3. Step 3: Cross multiply
    6,201.50x = 8,553.40 × 5,022.14
  4. Step 4: Simplify right side
    6,201.50x = 42,956,316.95
  5. Step 5: Solve for x
    x = 42,956,316.95/6,201.50
  6. Step 6: Final answer
    x = 6,926.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.