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Finding the Fourth Proportional to 6,504.57, 9,756.85 and 5,214.24

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Solution

The fourth proportional to 6,504.57, 9,756.85 and 5,214.24 is: 7,821.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,504.57 : 9,756.85 = 5,214.24 : x
  2. Step 2: Convert to fraction form
    6,504.57/9,756.85 = 5,214.24/x
  3. Step 3: Cross multiply
    6,504.57x = 9,756.85 × 5,214.24
  4. Step 4: Simplify right side
    6,504.57x = 50,874,557.54
  5. Step 5: Solve for x
    x = 50,874,557.54/6,504.57
  6. Step 6: Final answer
    x = 7,821.36

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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.