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Finding the Fourth Proportional to 6,442.47, 9,674.64 and 3,861.81

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Solution

The fourth proportional to 6,442.47, 9,674.64 and 3,861.81 is: 5,799.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,442.47 : 9,674.64 = 3,861.81 : x
  2. Step 2: Convert to fraction form
    6,442.47/9,674.64 = 3,861.81/x
  3. Step 3: Cross multiply
    6,442.47x = 9,674.64 × 3,861.81
  4. Step 4: Simplify right side
    6,442.47x = 37,361,621.50
  5. Step 5: Solve for x
    x = 37,361,621.50/6,442.47
  6. Step 6: Final answer
    x = 5,799.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.