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Finding the Fourth Proportional to 6,509.04, 8,982.12 and 3,819.87

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Solution

The fourth proportional to 6,509.04, 8,982.12 and 3,819.87 is: 5,271.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,509.04 : 8,982.12 = 3,819.87 : x
  2. Step 2: Convert to fraction form
    6,509.04/8,982.12 = 3,819.87/x
  3. Step 3: Cross multiply
    6,509.04x = 8,982.12 × 3,819.87
  4. Step 4: Simplify right side
    6,509.04x = 34,310,530.72
  5. Step 5: Solve for x
    x = 34,310,530.72/6,509.04
  6. Step 6: Final answer
    x = 5,271.21

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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.