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Finding the Fourth Proportional to 6,428.77, 9,630.70 and 3,647.03

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Solution

The fourth proportional to 6,428.77, 9,630.70 and 3,647.03 is: 5,463.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,428.77 : 9,630.70 = 3,647.03 : x
  2. Step 2: Convert to fraction form
    6,428.77/9,630.70 = 3,647.03/x
  3. Step 3: Cross multiply
    6,428.77x = 9,630.70 × 3,647.03
  4. Step 4: Simplify right side
    6,428.77x = 35,123,394.55
  5. Step 5: Solve for x
    x = 35,123,394.55/6,428.77
  6. Step 6: Final answer
    x = 5,463.47

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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.