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Finding the Fourth Proportional to 6,529.39, 9,794.64 and 1,849.42

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Solution

The fourth proportional to 6,529.39, 9,794.64 and 1,849.42 is: 2,774.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,529.39 : 9,794.64 = 1,849.42 : x
  2. Step 2: Convert to fraction form
    6,529.39/9,794.64 = 1,849.42/x
  3. Step 3: Cross multiply
    6,529.39x = 9,794.64 × 1,849.42
  4. Step 4: Simplify right side
    6,529.39x = 18,114,403.11
  5. Step 5: Solve for x
    x = 18,114,403.11/6,529.39
  6. Step 6: Final answer
    x = 2,774.29

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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.