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Finding the Fourth Proportional to 6,503.24, 9,747.93 and 3,380.10

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Solution

The fourth proportional to 6,503.24, 9,747.93 and 3,380.10 is: 5,066.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.24 : 9,747.93 = 3,380.10 : x
  2. Step 2: Convert to fraction form
    6,503.24/9,747.93 = 3,380.10/x
  3. Step 3: Cross multiply
    6,503.24x = 9,747.93 × 3,380.10
  4. Step 4: Simplify right side
    6,503.24x = 32,948,935.30
  5. Step 5: Solve for x
    x = 32,948,935.30/6,503.24
  6. Step 6: Final answer
    x = 5,066.54

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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.