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Finding the Fourth Proportional to 6,403.05, 9,610.04 and 3,635.28

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Solution

The fourth proportional to 6,403.05, 9,610.04 and 3,635.28 is: 5,456.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,403.05 : 9,610.04 = 3,635.28 : x
  2. Step 2: Convert to fraction form
    6,403.05/9,610.04 = 3,635.28/x
  3. Step 3: Cross multiply
    6,403.05x = 9,610.04 × 3,635.28
  4. Step 4: Simplify right side
    6,403.05x = 34,935,195.30
  5. Step 5: Solve for x
    x = 34,935,195.30/6,403.05
  6. Step 6: Final answer
    x = 5,456.02

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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.