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Finding the Fourth Proportional to 6,539.05, 9,809.67 and 2,379.28

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Solution

The fourth proportional to 6,539.05, 9,809.67 and 2,379.28 is: 3,569.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,539.05 : 9,809.67 = 2,379.28 : x
  2. Step 2: Convert to fraction form
    6,539.05/9,809.67 = 2,379.28/x
  3. Step 3: Cross multiply
    6,539.05x = 9,809.67 × 2,379.28
  4. Step 4: Simplify right side
    6,539.05x = 23,339,951.64
  5. Step 5: Solve for x
    x = 23,339,951.64/6,539.05
  6. Step 6: Final answer
    x = 3,569.32

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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.